113628816 has 240 divisors, whose sum is σ = 406224000. Its totient is φ = 28864512.

The previous prime is 113628811. The next prime is 113628817. The reversal of 113628816 is 618826311.

113628816 is a `hidden beast` number, since 1 + 13 + 628 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (113628811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325410 + ... + 325758.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^113628816 is an apocalyptic number.

113628816 is a gapful number since it is divisible by the number (16) 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 113628816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112000).

113628816 is an abundant number, since it is smaller than the sum of its proper divisors (292595184).

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

113628816 is a wasteful number, since it uses less digits than its factorization.

113628816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 113628816 is about 10659.6817963765. The cubic root of 113628816 is about 484.3539291340.

The spelling of 113628816 in words is "one hundred thirteen million, six hundred twenty-eight thousand, eight hundred sixteen".