15268828400 has 120 divisors (see below), whose sum is σ = 41961626784. Its totient is φ = 5230310400.

The previous prime is 15268828397. The next prime is 15268828423. The reversal of 15268828400 is 482886251.

It is a congruent number.

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, 4738790 + ... + 4742010.

Almost surely, 2^15268828400 is an apocalyptic number.

15268828400 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 15268828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20980813392).

15268828400 is an abundant number, since it is smaller than the sum of its proper divisors (26692798384).

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

15268828400 is a wasteful number, since it uses less digits than its factorization.

15268828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The spelling of 15268828400 in words is "fifteen billion, two hundred sixty-eight million, eight hundred twenty-eight thousand, four hundred".