428376416653584 has 100 divisors (see below), whose sum is σ = 1416966436421184. Its totient is φ = 122393261898432.

The previous prime is 428376416653517. The next prime is 428376416653589. The reversal of 428376416653584 is 485356614673824.

428376416653584 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 7 + 6 + 4 + 1 + 6 + 6 + 535 + 84 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (428376416653589) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 23609802252 + ... + 23609820395.

Almost surely, 2^{428376416653584} is an apocalyptic number.

It is an amenable number.

428376416653584 is an abundant number, since it is smaller than the sum of its proper divisors (988590019767600).

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

428376416653584 is a wasteful number, since it uses less digits than its factorization.

428376416653584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47219622674 (or 47219622659 counting only the distinct ones).

The product of its digits is 2786918400, while the sum is 72.

It can be divided in two parts, 42837641 and 6653584, that added together give a square (49491225 = 7035²).

The spelling of 428376416653584 in words is "four hundred twenty-eight trillion, three hundred seventy-six billion, four hundred sixteen million, six hundred fifty-three thousand, five hundred eighty-four".