113909328 has 100 divisors (see below), whose sum is σ = 355099668. Its totient is φ = 35043840.

The previous prime is 113909321. The next prime is 113909359. The reversal of 113909328 is 823909311.

It can be written as a sum of positive squares in 2 ways, for example, as 52881984 + 61027344 = 7272^2 + 7812^2 .

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 = 113909292 and 113909301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113909321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13468 + ... + 20228.

Almost surely, 2^113909328 is an apocalyptic number.

113909328 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 113909328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177549834).

113909328 is an abundant number, since it is smaller than the sum of its proper divisors (241190340).

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

113909328 is a wasteful number, since it uses less digits than its factorization.

113909328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794 (or 6779 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 113909328 is about 10672.8313019554. The cubic root of 113909328 is about 484.7521715388.

The spelling of 113909328 in words is "one hundred thirteen million, nine hundred nine thousand, three hundred twenty-eight".