Difference between 22x635 and 40x635 wheels/inner tubes?
The 22x635 is the rim telling you its own ISO designation, which is internal rim width x bead seat diameter in millimeters. The 28x1-1/2 in parentheses is an attempt to help make it a little bit clearer what tire goes on it, or maybe help out in the case of a tire, presumably an old one, that only has that size printed on it. (28x1-1/2 and similar numbers are nominal sizes, and they make tire sizing confusing in a number of ways.) 

Presuming your tire has an inflated width of around 40mm (say 37-43mm), and also presuming the valve type is correct, the tube you are looking at is the right one. I'm pretty sure virtually all 635mm tires are around that width.