28575120 has 160 divisors (see below), whose sum is σ = 103064832. Its totient is φ = 6414336.

The previous prime is 28575119. The next prime is 28575143. The reversal of 28575120 is 2157582.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122524 + ... + 122756.

Almost surely, 2^28575120 is an apocalyptic number.

28575120 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 28575120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51532416).

28575120 is an abundant number, since it is smaller than the sum of its proper divisors (74489712).

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

28575120 is a wasteful number, since it uses less digits than its factorization.

28575120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 28575120 is about 5345.5701286205. The cubic root of 28575120 is about 305.7238741071.

The spelling of 28575120 in words is "twenty-eight million, five hundred seventy-five thousand, one hundred twenty".