113428224 has 216 divisors, whose sum is σ = 403256672. Its totient is φ = 29859840.

The previous prime is 113428213. The next prime is 113428283. The reversal of 113428224 is 422824311.

113428224 is a `hidden beast` number, since 1 + 13 + 428 + 224 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 209394 + ... + 209934.

Almost surely, 2^113428224 is an apocalyptic number.

113428224 is a gapful number since it is divisible by the number (14) 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 113428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201628336).

113428224 is an abundant number, since it is smaller than the sum of its proper divisors (289828448).

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

113428224 is a wasteful number, since it uses less digits than its factorization.

113428224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 566 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 113428224 is about 10650.2687290040. The cubic root of 113428224 is about 484.0687469226.

The spelling of 113428224 in words is "one hundred thirteen million, four hundred twenty-eight thousand, two hundred twenty-four".