10112928 has 96 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 2841600.

The previous prime is 10112897. The next prime is 10112989. The reversal of 10112928 is 82921101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10112898 and 10112907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67798 + ... + 67946.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 2^10112928 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 10112928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

10112928 is an abundant number, since it is smaller than the sum of its proper divisors (20731872).

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

10112928 is a wasteful number, since it uses less digits than its factorization.

10112928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 10112928 is about 3180.0830177843. The cubic root of 10112928 is about 216.2514219114.

The spelling of 10112928 in words is "ten million, one hundred twelve thousand, nine hundred twenty-eight".