112638528 has 84 divisors (see below), whose sum is σ = 324467728. Its totient is φ = 37359360.

The previous prime is 112638527. The next prime is 112638541. The reversal of 112638528 is 825836211.

It is a happy number.

112638528 is a `hidden beast` number, since 1 + 12 + 638 + 5 + 2 + 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 = 112638492 and 112638501.

It is not an unprimeable number, because it can be changed into a prime (112638527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162663 + ... + 163353.

Almost surely, 2^112638528 is an apocalyptic number.

112638528 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 112638528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162233864).

112638528 is an abundant number, since it is smaller than the sum of its proper divisors (211829200).

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

112638528 is a wasteful number, since it uses less digits than its factorization.

112638528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 979 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 112638528 is about 10613.1299813015. The cubic root of 112638528 is about 482.9427551976.

It can be divided in two parts, 11263 and 8528, that added together give a palindrome (19791).

The spelling of 112638528 in words is "one hundred twelve million, six hundred thirty-eight thousand, five hundred twenty-eight".