Hello,
These white bumps are due to montogomery tubercules which are normal physiological changes in the body. The other possibility is of folliculitis skin. Apply warm compresses, Neosporin ointment and calamine lotion and avoid messing with it. You can take anti-inflammatory pain killers like ibuprofen or acetaminophen. If the lumps persist then it will be best to get it evaluated from a dermatologist.
I hope it helps. Take care and regards.
are you pregnant? as i got white pimple looking things around my nipples but its due to my pregnancy...x