diff --git a/pandas/tests/arithmetic/test_period.py b/pandas/tests/arithmetic/test_period.py
index 9fc6568a019b6..d206622521816 100644
--- a/pandas/tests/arithmetic/test_period.py
+++ b/pandas/tests/arithmetic/test_period.py
@@ -1522,3 +1522,11 @@ def test_pi_sub_period_nat(self):
         exp = pd.TimedeltaIndex([np.nan, np.nan, np.nan, np.nan], name="idx")
         tm.assert_index_equal(idx - pd.Period("NaT", freq="M"), exp)
         tm.assert_index_equal(pd.Period("NaT", freq="M") - idx, exp)
+
+    @pytest.mark.parametrize("scalars", ["a", False, 1, 1.0, None])
+    def test_comparison_operations(self, scalars):
+        # GH 28980
+        expected = Series([False, False])
+        s = Series([pd.Period("2019"), pd.Period("2020")], dtype="period[A-DEC]")
+        result = s == scalars
+        tm.assert_series_equal(result, expected)