15056328 has 128 divisors (see below), whose sum is σ = 46080000. Its totient is φ = 4092480.

The previous prime is 15056311. The next prime is 15056333. The reversal of 15056328 is 82365051.

15056328 is a nontrivial binomial coefficient, being equal to C(5488, 2).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 15056295 and 15056304.

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, 255163 + ... + 255221.

It is an arithmetic number, because the mean of its divisors is an integer number (360000).

Almost surely, 2^15056328 is an apocalyptic number.

15056328 is the 5487-th triangular number and also the 2744-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15056328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040000).

15056328 is an abundant number, since it is smaller than the sum of its proper divisors (31023672).

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

15056328 is a wasteful number, since it uses less digits than its factorization.

15056328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 15056328 is about 3880.2484456540. The cubic root of 15056328 is about 246.9295258082.

The spelling of 15056328 in words is "fifteen million, fifty-six thousand, three hundred twenty-eight".