The 635MM wheel is about 1/2" difference in diameter.
I wouldn't even notice that on another bike!
"FAT" 622 tires are called 29's!
Assuming your 28's are 635x 1-1/2", that would be a 37MM "thick" tire.
a 622x 41MM would theoretically be the same OD.
Does the bike have a rear brake that has to match rim diameter? If so, that would be a bigger issue to me.