28815160 has 64 divisors (see below), whose sum is σ = 72420480. Its totient is φ = 10227840.

The previous prime is 28815139. The next prime is 28815173. The reversal of 28815160 is 6151882.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18159 + ... + 19681.

It is an arithmetic number, because the mean of its divisors is an integer number (1131570).

Almost surely, 2^28815160 is an apocalyptic number.

28815160 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 28815160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36210240).

28815160 is an abundant number, since it is smaller than the sum of its proper divisors (43605320).

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

28815160 is a wasteful number, since it uses less digits than its factorization.

28815160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 28815160 is about 5367.9754097797. The cubic root of 28815160 is about 306.5775470926.

Subtracting from 28815160 its reverse (6151882), we obtain a triangular number (22663278 = T₆₇₃₂).

The spelling of 28815160 in words is "twenty-eight million, eight hundred fifteen thousand, one hundred sixty".