428615580456 has 120 divisors (see below), whose sum is σ = 1396523940570. Its totient is φ = 122461585344.

The previous prime is 428615580433. The next prime is 428615580469. The reversal of 428615580456 is 654085516824.

428615580456 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 1 + 5 + 580 + 4 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 406322104356 + 22293476100 = 637434^2 + 149310^2 .

It is a super-2 number, since 2×428615580456² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6717675 + ... + 6781178.

Almost surely, 2^428615580456 is an apocalyptic number.

It is an amenable number.

428615580456 is an abundant number, since it is smaller than the sum of its proper divisors (967908360114).

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

428615580456 is a wasteful number, since it uses less digits than its factorization.

428615580456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13498885 (or 13498865 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 428615580456 in words is "four hundred twenty-eight billion, six hundred fifteen million, five hundred eighty thousand, four hundred fifty-six".