10112876928 has 384 divisors, whose sum is σ = 36546681600. Its totient is φ = 2607575040.

The previous prime is 10112876843. The next prime is 10112876933. The reversal of 10112876928 is 82967821101.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15345463 + ... + 15346121.

It is an arithmetic number, because the mean of its divisors is an integer number (95173650).

Almost surely, 2^10112876928 is an apocalyptic number.

10112876928 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 10112876928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18273340800).

10112876928 is an abundant number, since it is smaller than the sum of its proper divisors (26433804672).

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

10112876928 is a wasteful number, since it uses less digits than its factorization.

10112876928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 10112876928 in words is "ten billion, one hundred twelve million, eight hundred seventy-six thousand, nine hundred twenty-eight".