428476125 has 192 divisors, whose sum is σ = 956067840. Its totient is φ = 166320000.

The previous prime is 428476099. The next prime is 428476151. The reversal of 428476125 is 521674824.

It is an interprime number because it is at equal distance from previous prime (428476099) and next prime (428476151).

It is not a de Polignac number, because 428476125 - 2⁷ = 428475997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6034840 + ... + 6034910.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^428476125 is an apocalyptic number.

It is an amenable number.

428476125 is an abundant number, since it is smaller than the sum of its proper divisors (527591715).

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

428476125 is a wasteful number, since it uses less digits than its factorization.

428476125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 428476125 is about 20699.6648523593. The cubic root of 428476125 is about 753.8915506320.

The spelling of 428476125 in words is "four hundred twenty-eight million, four hundred seventy-six thousand, one hundred twenty-five".