There are two important maximum values for the input to an op amp.
1. Differential is the maximum allowable voltage difference between the two inputs. In this case, if you exceed that voltage there are diodes connected internally between the two input pins that will conduct too much current if that voltage is exceeded, damaging the device.
2. Common mode is the allowable voltage range on both inputs (since they can't be more than 0.5 V from each other) with respect to the power supply terminals of the device.
In normal operation of an op amp, within its allowable operating range, the (external) negative feedback should ensure that the differential voltage is very small, even when the two input voltages vary within the common-mode range.