125628228 has 144 divisors (see below), whose sum is σ = 372153600. Its totient is φ = 35328960.

The previous prime is 125628221. The next prime is 125628229. The reversal of 125628228 is 822826521.

125628228 is a `hidden beast` number, since 1 + 2 + 5 + 628 + 2 + 28 = 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 = 125628192 and 125628201.

It is not an unprimeable number, because it can be changed into a prime (125628221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443775 + ... + 444057.

It is an arithmetic number, because the mean of its divisors is an integer number (2584400).

Almost surely, 2^125628228 is an apocalyptic number.

125628228 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 125628228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186076800).

125628228 is an abundant number, since it is smaller than the sum of its proper divisors (246525372).

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

125628228 is a wasteful number, since it uses less digits than its factorization.

125628228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 377 counting only the distinct ones).

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

The square root of 125628228 is about 11208.3998857999. The cubic root of 125628228 is about 500.8362379658.

The spelling of 125628228 in words is "one hundred twenty-five million, six hundred twenty-eight thousand, two hundred twenty-eight".