28515120 has 160 divisors (see below), whose sum is σ = 97225920. Its totient is φ = 6881280.

The previous prime is 28515119. The next prime is 28515139. The reversal of 28515120 is 2151582.

It is a super-2 number, since 2×28515120² = 1626224137228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 118200 + ... + 118440.

It is an arithmetic number, because the mean of its divisors is an integer number (607662).

Almost surely, 2^28515120 is an apocalyptic number.

28515120 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 28515120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48612960).

28515120 is an abundant number, since it is smaller than the sum of its proper divisors (68710800).

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

28515120 is a wasteful number, since it uses less digits than its factorization.

28515120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 28515120 is about 5339.9550559906. The cubic root of 28515120 is about 305.5097451004.

The spelling of 28515120 in words is "twenty-eight million, five hundred fifteen thousand, one hundred twenty".