112538928 has 80 divisors (see below), whose sum is σ = 305980416. Its totient is φ = 35592960.

The previous prime is 112538927. The next prime is 112538969. The reversal of 112538928 is 829835211.

It is not an unprimeable number, because it can be changed into a prime (112538927) 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 15 ways as a sum of consecutive naturals, for example, 78151 + ... + 79577.

Almost surely, 2^112538928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112538928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152990208).

112538928 is an abundant number, since it is smaller than the sum of its proper divisors (193441488).

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

112538928 is a wasteful number, since it uses less digits than its factorization.

112538928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1516 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 112538928 is about 10608.4366425972. The cubic root of 112538928 is about 482.8003667273.

The spelling of 112538928 in words is "one hundred twelve million, five hundred thirty-eight thousand, nine hundred twenty-eight".