112164928 has 42 divisors (see below), whose sum is σ = 232745534. Its totient is φ = 53627904.

The previous prime is 112164917. The next prime is 112164931. The reversal of 112164928 is 829461211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 109998144 + 2166784 = 10488^2 + 1472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112164893 and 112164902.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32200 + ... + 35512.

Almost surely, 2^112164928 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 112164928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116372767).

112164928 is an abundant number, since it is smaller than the sum of its proper divisors (120580606).

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

112164928 is an equidigital number, since it uses as much as digits as its factorization.

112164928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3338 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 112164928 is about 10590.7944933324. The cubic root of 112164928 is about 482.2649438988.

It can be divided in two parts, 1121 and 64928, that added together give a square (66049 = 257²).

The spelling of 112164928 in words is "one hundred twelve million, one hundred sixty-four thousand, nine hundred twenty-eight".