113558328 has 128 divisors (see below), whose sum is σ = 349204800. Its totient is φ = 33965568.

The previous prime is 113558311. The next prime is 113558329. The reversal of 113558328 is 823855311.

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 = 113558292 and 113558301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113558329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103350 + ... + 104442.

Almost surely, 2^113558328 is an apocalyptic number.

113558328 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 113558328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174602400).

113558328 is an abundant number, since it is smaller than the sum of its proper divisors (235646472).

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

113558328 is a wasteful number, since it uses less digits than its factorization.

113558328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1148 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 113558328 is about 10656.3749934018. The cubic root of 113558328 is about 484.2537544218.

It can be divided in two parts, 11355 and 8328, that added together give a 9-th power (19683 = 3⁹).

The spelling of 113558328 in words is "one hundred thirteen million, five hundred fifty-eight thousand, three hundred twenty-eight".