428456323654824 has 64 divisors (see below), whose sum is σ = 1087440651158400. Its totient is φ = 140661154070784.

The previous prime is 428456323654561. The next prime is 428456323654861.

428456323654824 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489931387 + ... + 490805130.

It is an arithmetic number, because the mean of its divisors is an integer number (16991260174350).

Almost surely, 2^{428456323654824} is an apocalyptic number.

It is an amenable number.

428456323654824 is an abundant number, since it is smaller than the sum of its proper divisors (658984327503576).

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

428456323654824 is a wasteful number, since it uses less digits than its factorization.

428456323654824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980736802 (or 980736798 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 66.

The spelling of 428456323654824 in words is "four hundred twenty-eight trillion, four hundred fifty-six billion, three hundred twenty-three million, six hundred fifty-four thousand, eight hundred twenty-four".