112928688 has 80 divisors (see below), whose sum is σ = 343236960. Its totient is φ = 35426304.

The previous prime is 112928663. The next prime is 112928693. The reversal of 112928688 is 886829211.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345 + ... + 15032.

It is an arithmetic number, because the mean of its divisors is an integer number (4290462).

Almost surely, 2^112928688 is an apocalyptic number.

112928688 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 112928688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171618480).

112928688 is an abundant number, since it is smaller than the sum of its proper divisors (230308272).

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

112928688 is a wasteful number, since it uses less digits than its factorization.

112928688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15411 (or 15399 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 112928688 is about 10626.7910490420. The cubic root of 112928688 is about 483.3570909712.

The spelling of 112928688 in words is "one hundred twelve million, nine hundred twenty-eight thousand, six hundred eighty-eight".