428315513824 has 24 divisors (see below), whose sum is σ = 919904911128. Its totient is φ = 194688869760.

The previous prime is 428315513783. The next prime is 428315513837.

428315513824 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 608402367 + ... + 608403070.

It is an arithmetic number, because the mean of its divisors is an integer number (38329371297).

Almost surely, 2^428315513824 is an apocalyptic number.

428315513824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428315513824 is an abundant number, since it is smaller than the sum of its proper divisors (491589397304).

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

428315513824 is a wasteful number, since it uses less digits than its factorization.

428315513824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216805458 (or 1216805450 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

The spelling of 428315513824 in words is "four hundred twenty-eight billion, three hundred fifteen million, five hundred thirteen thousand, eight hundred twenty-four".