28557200 has 180 divisors, whose sum is σ = 84137472. Its totient is φ = 9273600.

The previous prime is 28557173. The next prime is 28557227. The reversal of 28557200 is 275582.

It is an interprime number because it is at equal distance from previous prime (28557173) and next prime (28557227).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 607577 + ... + 607623.

Almost surely, 2^28557200 is an apocalyptic number.

28557200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28557200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42068736).

28557200 is an abundant number, since it is smaller than the sum of its proper divisors (55580272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28557200 is a wasteful number, since it uses less digits than its factorization.

28557200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 28557200 is about 5343.8937115178. The cubic root of 28557200 is about 305.6599523287.

The spelling of 28557200 in words is "twenty-eight million, five hundred fifty-seven thousand, two hundred".