113966928 has 90 divisors (see below), whose sum is σ = 325565162. Its totient is φ = 37215360.

The previous prime is 113966927. The next prime is 113966947. The reversal of 113966928 is 829669311.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 87834384 + 26132544 = 9372^2 + 5112^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113966927) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 725826 + ... + 725982.

Almost surely, 2^113966928 is an apocalyptic number.

113966928 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 113966928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162782581).

113966928 is an abundant number, since it is smaller than the sum of its proper divisors (211598234).

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

113966928 is a wasteful number, since it uses less digits than its factorization.

113966928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 233 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 113966928 is about 10675.5294013927. The cubic root of 113966928 is about 484.8338652290.

The spelling of 113966928 in words is "one hundred thirteen million, nine hundred sixty-six thousand, nine hundred twenty-eight".