15505728 has 112 divisors (see below), whose sum is σ = 47792640. Its totient is φ = 4345344.

The previous prime is 15505697. The next prime is 15505739. The reversal of 15505728 is 82750551.

It is a happy number.

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

It is a nialpdrome in base 16.

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, 111483 + ... + 111621.

It is an arithmetic number, because the mean of its divisors is an integer number (426720).

Almost surely, 2^15505728 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 15505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23896320).

15505728 is an abundant number, since it is smaller than the sum of its proper divisors (32286912).

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

15505728 is a wasteful number, since it uses less digits than its factorization.

15505728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 15505728 is about 3937.7313265382. The cubic root of 15505728 is about 249.3622571864.

The spelling of 15505728 in words is "fifteen million, five hundred five thousand, seven hundred twenty-eight".