15728928 has 48 divisors (see below), whose sum is σ = 42003360. Its totient is φ = 5152256.

The previous prime is 15728917. The next prime is 15728929. The reversal of 15728928 is 82982751.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 15728928.

It is not an unprimeable number, because it can be changed into a prime (15728929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4276 + ... + 7052.

It is an arithmetic number, because the mean of its divisors is an integer number (875070).

Almost surely, 2^15728928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15728928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21001680).

15728928 is an abundant number, since it is smaller than the sum of its proper divisors (26274432).

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

15728928 is a wasteful number, since it uses less digits than its factorization.

15728928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2841 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 15728928 is about 3965.9712555691. The cubic root of 15728928 is about 250.5530582706.

The spelling of 15728928 in words is "fifteen million, seven hundred twenty-eight thousand, nine hundred twenty-eight".