125928 has 64 divisors (see below), whose sum is σ = 388800. Its totient is φ = 37440.

The previous prime is 125927. The next prime is 125929. The reversal of 125928 is 829521.

It is an interprime number because it is at equal distance from previous prime (125927) and next prime (125929).

It is a super-2 number, since 2×125928² = 31715722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125928.

It is not an unprimeable number, because it can be changed into a prime (125921) by changing a digit.

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, 2350 + ... + 2402.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2¹²⁵⁹²⁸ is an apocalyptic number.

125928 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 125928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194400).

125928 is an abundant number, since it is smaller than the sum of its proper divisors (262872).

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

125928 is a wasteful number, since it uses less digits than its factorization.

125928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 125928 is about 354.8633539829. The cubic root of 125928 is about 50.1234283913.

125928 divided by its sum of digits (27) gives a palindrome (4664).

The spelling of 125928 in words is "one hundred twenty-five thousand, nine hundred twenty-eight".