diff --git a/doc/source/whatsnew/v1.0.0.rst b/doc/source/whatsnew/v1.0.0.rst
index 3e72072eae303..2ec575ef5040a 100644
--- a/doc/source/whatsnew/v1.0.0.rst
+++ b/doc/source/whatsnew/v1.0.0.rst
@@ -858,6 +858,7 @@ Other
 - Bug in :meth:`DataFrame.append` that raised ``IndexError`` when appending with empty list (:issue:`28769`)
 - Fix :class:`AbstractHolidayCalendar` to return correct results for
   years after 2030 (now goes up to 2200) (:issue:`27790`)
+- Fixed :class:`IntegerArray` returning ``NA`` rather than ``inf`` for operations dividing by 0 (:issue:`27398`)
 - Bug in :meth:`Series.count` raises if use_inf_as_na is enabled (:issue:`29478`)
 
 
diff --git a/pandas/core/arrays/integer.py b/pandas/core/arrays/integer.py
index 08a3eca1e9055..d47e7e3df27e1 100644
--- a/pandas/core/arrays/integer.py
+++ b/pandas/core/arrays/integer.py
@@ -700,11 +700,6 @@ def _maybe_mask_result(self, result, mask, other, op_name):
         op_name : str
         """
 
-        # may need to fill infs
-        # and mask wraparound
-        if is_float_dtype(result):
-            mask |= (result == np.inf) | (result == -np.inf)
-
         # if we have a float operand we are by-definition
         # a float result
         # or our op is a divide
@@ -748,7 +743,7 @@ def integer_arithmetic_method(self, other):
 
             # nans propagate
             if mask is None:
-                mask = self._mask
+                mask = self._mask.copy()
             else:
                 mask = self._mask | mask
 
diff --git a/pandas/tests/arrays/test_integer.py b/pandas/tests/arrays/test_integer.py
index 90790ccadb54a..d36b42ec87e51 100644
--- a/pandas/tests/arrays/test_integer.py
+++ b/pandas/tests/arrays/test_integer.py
@@ -339,6 +339,19 @@ def test_error(self, data, all_arithmetic_operators):
         with pytest.raises(NotImplementedError):
             opa(np.arange(len(s)).reshape(-1, len(s)))
 
+    @pytest.mark.parametrize("zero, negative", [(0, False), (0.0, False), (-0.0, True)])
+    def test_divide_by_zero(self, zero, negative):
+        # https://github.com/pandas-dev/pandas/issues/27398
+        a = pd.array([0, 1, -1, None], dtype="Int64")
+        result = a / zero
+        expected = np.array([np.nan, np.inf, -np.inf, np.nan])
+        if negative:
+            values = [np.nan, -np.inf, np.inf, np.nan]
+        else:
+            values = [np.nan, np.inf, -np.inf, np.nan]
+        expected = np.array(values)
+        tm.assert_numpy_array_equal(result, expected)
+
     def test_pow(self):
         # https://github.com/pandas-dev/pandas/issues/22022
         a = integer_array([1, np.nan, np.nan, 1])
@@ -389,6 +402,10 @@ def test_compare_array(self, data, all_compare_operators):
         other = pd.Series([0] * len(data))
         self._compare_other(data, op_name, other)
 
+    def test_no_shared_mask(self, data):
+        result = data + 1
+        assert np.shares_memory(result._mask, data._mask) is False
+
     def test_compare_to_string(self, any_nullable_int_dtype):
         # GH 28930
         s = pd.Series([1, None], dtype=any_nullable_int_dtype)