113684928 has 112 divisors (see below), whose sum is σ = 346155264. Its totient is φ = 32256000.

The previous prime is 113684887. The next prime is 113684941. The reversal of 113684928 is 829486311.

113684928 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 113684928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337176 + ... + 337512.

It is an arithmetic number, because the mean of its divisors is an integer number (3090672).

Almost surely, 2^113684928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113684928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173077632).

113684928 is an abundant number, since it is smaller than the sum of its proper divisors (232470336).

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

113684928 is a wasteful number, since it uses less digits than its factorization.

With its successor (113684929) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (600).

113684928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 600 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 113684928 is about 10662.3134450268. The cubic root of 113684928 is about 484.4336436413.

The spelling of 113684928 in words is "one hundred thirteen million, six hundred eighty-four thousand, nine hundred twenty-eight".