113328400 has 60 divisors (see below), whose sum is σ = 273446784. Its totient is φ = 45136000.

The previous prime is 113328379. The next prime is 113328403. The reversal of 113328400 is 4823311.

It is not an unprimeable number, because it can be changed into a prime (113328403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123945 + ... + 124855.

Almost surely, 2^113328400 is an apocalyptic number.

113328400 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 113328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136723392).

113328400 is an abundant number, since it is smaller than the sum of its proper divisors (160118384).

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

113328400 is a wasteful number, since it uses less digits than its factorization.

113328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 113328400 is about 10645.5812429383. The cubic root of 113328400 is about 483.9267015563.

The spelling of 113328400 in words is "one hundred thirteen million, three hundred twenty-eight thousand, four hundred".