113952528 has 160 divisors (see below), whose sum is σ = 345374720. Its totient is φ = 35925120.

The previous prime is 113952499. The next prime is 113952529. The reversal of 113952528 is 825259311.

113952528 is a `hidden beast` number, since 11 + 395 + 252 + 8 = 666.

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 = 113952492 and 113952501.

It is not an unprimeable number, because it can be changed into a prime (113952529) 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, 897201 + ... + 897327.

It is an arithmetic number, because the mean of its divisors is an integer number (2158592).

Almost surely, 2^113952528 is an apocalyptic number.

113952528 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 113952528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172687360).

113952528 is an abundant number, since it is smaller than the sum of its proper divisors (231422192).

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

113952528 is a wasteful number, since it uses less digits than its factorization.

113952528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 113952528 is about 10674.8549404664. The cubic root of 113952528 is about 484.8134443875.

The spelling of 113952528 in words is "one hundred thirteen million, nine hundred fifty-two thousand, five hundred twenty-eight".