125408628 has 48 divisors (see below), whose sum is σ = 325839360. Its totient is φ = 41712192.

The previous prime is 125408623. The next prime is 125408639. The reversal of 125408628 is 826804521.

125408628 is a `hidden beast` number, since 1 + 25 + 4 + 0 + 8 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125408592 and 125408601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125408623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64600 + ... + 66512.

It is an arithmetic number, because the mean of its divisors is an integer number (6788320).

Almost surely, 2^125408628 is an apocalyptic number.

125408628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125408628 is an abundant number, since it is smaller than the sum of its proper divisors (200430732).

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

125408628 is a wasteful number, since it uses less digits than its factorization.

125408628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 125408628 is about 11198.5993767078. The cubic root of 125408628 is about 500.5442447138.

The spelling of 125408628 in words is "one hundred twenty-five million, four hundred eight thousand, six hundred twenty-eight".