125111628 has 120 divisors (see below), whose sum is σ = 346714368. Its totient is φ = 39261024.

The previous prime is 125111621. The next prime is 125111633. The reversal of 125111628 is 826111521.

125111628 is a `hidden beast` number, since 1 + 25 + 1 + 11 + 628 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125111621) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 767475 + ... + 767637.

Almost surely, 2^125111628 is an apocalyptic number.

125111628 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 125111628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173357184).

125111628 is an abundant number, since it is smaller than the sum of its proper divisors (221602740).

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

125111628 is a wasteful number, since it uses less digits than its factorization.

125111628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 125111628 is about 11185.3309293914. The cubic root of 125111628 is about 500.1487930502.

The spelling of 125111628 in words is "one hundred twenty-five million, one hundred eleven thousand, six hundred twenty-eight".