15328320 has 112 divisors (see below), whose sum is σ = 55644288. Its totient is φ = 3502080.

The previous prime is 15328309. The next prime is 15328333. The reversal of 15328320 is 2382351.

It is a tau number, because it is divible by the number of its divisors (112).

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

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, 5580 + ... + 7860.

It is an arithmetic number, because the mean of its divisors is an integer number (496824).

Almost surely, 2^15328320 is an apocalyptic number.

15328320 is a gapful number since it is divisible by the number (10) 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 15328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27822144).

15328320 is an abundant number, since it is smaller than the sum of its proper divisors (40315968).

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

15328320 is a wasteful number, since it uses less digits than its factorization.

15328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 15328320 is about 3915.1398442457. The cubic root of 15328320 is about 248.4075850614.

The spelling of 15328320 in words is "fifteen million, three hundred twenty-eight thousand, three hundred twenty".