A 32E is a 32 band with an E cup — a full cup. The band does most of the work (around 80% of your support), so if it rides up at the back or the straps dig in, it's the band to fix, not you.
We cut 32E for fuller busts, part of our full 32D–32K range. Not sure 32E is your size? Book a personalized fitting and we'll get it sorted.