428643346824 has 128 divisors (see below), whose sum is σ = 1484479180800. Its totient is φ = 111335929920.

The previous prime is 428643346777. The next prime is 428643346853.

428643346824 is a `hidden beast` number, since 4 + 286 + 4 + 334 + 6 + 8 + 24 = 666.

428643346824 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12869472 + ... + 12902735.

It is an arithmetic number, because the mean of its divisors is an integer number (11597493600).

Almost surely, 2^428643346824 is an apocalyptic number.

428643346824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428643346824 is an abundant number, since it is smaller than the sum of its proper divisors (1055835833976).

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

428643346824 is a wasteful number, since it uses less digits than its factorization.

428643346824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25772240 (or 25772230 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 428643346824 in words is "four hundred twenty-eight billion, six hundred forty-three million, three hundred forty-six thousand, eight hundred twenty-four".