428465464564824 has 96 divisors (see below), whose sum is σ = 1172698507890000. Its totient is φ = 141313405766400.

The previous prime is 428465464564771. The next prime is 428465464564867.

428465464564824 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 6 + 54 + 6 + 4 + 564 + 8 + 2 + 4 = 666.

428465464564824 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 8752339 + ... + 30553794.

Almost surely, 2^{428465464564824} is an apocalyptic number.

It is an amenable number.

428465464564824 is an abundant number, since it is smaller than the sum of its proper divisors (744233043325176).

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

428465464564824 is a wasteful number, since it uses less digits than its factorization.

428465464564824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39307745 (or 39307738 counting only the distinct ones).

The product of its digits is 5662310400, while the sum is 72.

The spelling of 428465464564824 in words is "four hundred twenty-eight trillion, four hundred sixty-five billion, four hundred sixty-four million, five hundred sixty-four thousand, eight hundred twenty-four".