Somewhat miraculously (and infuriatingly) 364 = 13 x 28.
If the earth orbited the sun 24 hours faster (ok, 30 hours), we could have thirteen 28-day perfect months.
*January 1 would always be Sunday
*Every month would start on Sunday and end on Saturday
*You would always know what day of the week you were born on
*Christmas would always be Wednesday
*Every month would have a Friday the 13, so we'd have to get over that
*April Ludgate wouldn't have scheduled all of Ron Swanson's appointments on the wrong day.