390028895424 has 252 divisors, whose sum is σ = 1345316029200. Its totient is φ = 107593952256.

The previous prime is 390028895411. The next prime is 390028895429. The reversal of 390028895424 is 424598820093.

390028895424 is a `hidden beast` number, since 3 + 90 + 0 + 2 + 8 + 8 + 9 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (390028895429) 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 35 ways as a sum of consecutive naturals, for example, 580237 + ... + 1056755.

Almost surely, 2^390028895424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390028895424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672658014600).

390028895424 is an abundant number, since it is smaller than the sum of its proper divisors (955287133776).

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

390028895424 is a wasteful number, since it uses less digits than its factorization.

390028895424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476580 (or 476560 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 390028895424 in words is "three hundred ninety billion, twenty-eight million, eight hundred ninety-five thousand, four hundred twenty-four".