113516928 has 144 divisors (see below), whose sum is σ = 380177460. Its totient is φ = 32417280.

The previous prime is 113516899. The next prime is 113516969. The reversal of 113516928 is 829615311.

113516928 is a `hidden beast` number, since 113 + 516 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 113516892 and 113516901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55443 + ... + 57453.

Almost surely, 2^113516928 is an apocalyptic number.

113516928 is a gapful number since it is divisible by the number (18) 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 113516928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190088730).

113516928 is an abundant number, since it is smaller than the sum of its proper divisors (266660532).

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

113516928 is a wasteful number, since it uses less digits than its factorization.

113516928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2023 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 113516928 is about 10654.4323171157. The cubic root of 113516928 is about 484.1948990811.

The spelling of 113516928 in words is "one hundred thirteen million, five hundred sixteen thousand, nine hundred twenty-eight".