15285648 has 120 divisors (see below), whose sum is σ = 47101152. Its totient is φ = 4257792.

The previous prime is 15285637. The next prime is 15285701. The reversal of 15285648 is 84658251.

15285648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157536 + ... + 157632.

Almost surely, 2^15285648 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 15285648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23550576).

15285648 is an abundant number, since it is smaller than the sum of its proper divisors (31815504).

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

15285648 is a wasteful number, since it uses less digits than its factorization.

15285648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 15285648 is about 3909.6864324393. The cubic root of 15285648 is about 248.1768596224.

The spelling of 15285648 in words is "fifteen million, two hundred eighty-five thousand, six hundred forty-eight".