428001704489824 has 96 divisors (see below), whose sum is σ = 852882702013440. Its totient is φ = 211401088723968.

The previous prime is 428001704489809. The next prime is 428001704489833. The reversal of 428001704489824 is 428984407100824.

It is a congruent number.

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, 21035115619 + ... + 21035135965.

It is an arithmetic number, because the mean of its divisors is an integer number (8884194812640).

Almost surely, 2^{428001704489824} is an apocalyptic number.

It is an amenable number.

428001704489824 is a deficient number, since it is larger than the sum of its proper divisors (424880997523616).

428001704489824 is a wasteful number, since it uses less digits than its factorization.

428001704489824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26900 (or 26892 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 61.

The spelling of 428001704489824 in words is "four hundred twenty-eight trillion, one billion, seven hundred four million, four hundred eighty-nine thousand, eight hundred twenty-four".