diff --git a/pandas/tests/dtypes/test_dtypes.py b/pandas/tests/dtypes/test_dtypes.py
index abb29ce66fd34..30447de874aaa 100644
--- a/pandas/tests/dtypes/test_dtypes.py
+++ b/pandas/tests/dtypes/test_dtypes.py
@@ -1095,3 +1095,15 @@ def test_period_dtype_compare_to_string():
     dtype = PeriodDtype(freq="M")
     assert (dtype == "period[M]") is True
     assert (dtype != "period[M]") is False
+
+
+def test_compare_complex_dtypes():
+    # GH 28050
+    df = pd.DataFrame(np.arange(5).astype(np.complex128))
+    msg = "'<' not supported between instances of 'complex' and 'complex'"
+
+    with pytest.raises(TypeError, match=msg):
+        df < df.astype(object)
+
+    with pytest.raises(TypeError, match=msg):
+        df.lt(df.astype(object))