28640433525600 has 144 divisors (see below), whose sum is σ = 100395735167952. Its totient is φ = 7049952860160.

The previous prime is 28640433525551. The next prime is 28640433525731. The reversal of 28640433525600 is 652533404682.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28640433525600.

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 23 ways as a sum of consecutive naturals, for example, 458950107 + ... + 459012506.

It is an arithmetic number, because the mean of its divisors is an integer number (697192605333).

Almost surely, 2^{28640433525600} is an apocalyptic number.

28640433525600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28640433525600 is an abundant number, since it is smaller than the sum of its proper divisors (71755301642352).

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

28640433525600 is a wasteful number, since it uses less digits than its factorization.

28640433525600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917962649 (or 917962636 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 28640433525600 in words is "twenty-eight trillion, six hundred forty billion, four hundred thirty-three million, five hundred twenty-five thousand, six hundred".