112656528 has 80 divisors (see below), whose sum is σ = 327558400. Its totient is φ = 37065600.

The previous prime is 112656521. The next prime is 112656611. The reversal of 112656528 is 825656211.

112656528 is a `hidden beast` number, since 1 + 126 + 5 + 6 + 528 = 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 = 112656492 and 112656501.

It is not an unprimeable number, because it can be changed into a prime (112656521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32478 + ... + 35778.

It is an arithmetic number, because the mean of its divisors is an integer number (4094480).

Almost surely, 2^112656528 is an apocalyptic number.

112656528 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 112656528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163779200).

112656528 is an abundant number, since it is smaller than the sum of its proper divisors (214901872).

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

112656528 is a wasteful number, since it uses less digits than its factorization.

112656528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3385 counting only the distinct ones).

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

The square root of 112656528 is about 10613.9779536232. The cubic root of 112656528 is about 482.9684790972.

The spelling of 112656528 in words is "one hundred twelve million, six hundred fifty-six thousand, five hundred twenty-eight".