125882928 has 60 divisors (see below), whose sum is σ = 353656680. Its totient is φ = 41799168.

The previous prime is 125882857. The next prime is 125882951. The reversal of 125882928 is 829288521.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39208 + ... + 42296.

It is an arithmetic number, because the mean of its divisors is an integer number (5894278).

Almost surely, 2^125882928 is an apocalyptic number.

125882928 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 125882928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176828340).

125882928 is an abundant number, since it is smaller than the sum of its proper divisors (227773752).

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

125882928 is a wasteful number, since it uses less digits than its factorization.

125882928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3377 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 125882928 is about 11219.7561470827. The cubic root of 125882928 is about 501.1744763837.

The spelling of 125882928 in words is "one hundred twenty-five million, eight hundred eighty-two thousand, nine hundred twenty-eight".