112528800 has 108 divisors (see below), whose sum is σ = 396830070. Its totient is φ = 30005760.

The previous prime is 112528799. The next prime is 112528813. The reversal of 112528800 is 8825211.

It can be written as a sum of positive squares in 3 ways, for example, as 109746576 + 2782224 = 10476^2 + 1668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 615 + ... + 15014.

Almost surely, 2^112528800 is an apocalyptic number.

112528800 is a gapful number since it is divisible by the number (10) 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 112528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198415035).

112528800 is an abundant number, since it is smaller than the sum of its proper divisors (284301270).

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

112528800 is a wasteful number, since it uses less digits than its factorization.

112528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15655 (or 15639 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 112528800 is about 10607.9592759399. The cubic root of 112528800 is about 482.7858830018.

The spelling of 112528800 in words is "one hundred twelve million, five hundred twenty-eight thousand, eight hundred".