428579253670320 has 120 divisors (see below), whose sum is σ = 1439575087047552. Its totient is φ = 114266910182400.

The previous prime is 428579253670297. The next prime is 428579253670387. The reversal of 428579253670320 is 23076352975824.

428579253670320 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 7 + 9 + 2 + 536 + 70 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50461261 + ... + 58339500.

Almost surely, 2^{428579253670320} is an apocalyptic number.

428579253670320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428579253670320 is an abundant number, since it is smaller than the sum of its proper divisors (1010995833377232).

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

428579253670320 is a wasteful number, since it uses less digits than its factorization.

428579253670320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108806251 (or 108806242 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 428579253670320 in words is "four hundred twenty-eight trillion, five hundred seventy-nine billion, two hundred fifty-three million, six hundred seventy thousand, three hundred twenty".