384528435264 has 168 divisors, whose sum is σ = 1142854427520. Its totient is φ = 123466828800.

The previous prime is 384528435241. The next prime is 384528435289. The reversal of 384528435264 is 462534825483.

384528435264 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 284 + 352 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 384528435264.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7172719 + ... + 7226129.

Almost surely, 2^384528435264 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 384528435264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571427213760).

384528435264 is an abundant number, since it is smaller than the sum of its proper divisors (758325992256).

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

384528435264 is a wasteful number, since it uses less digits than its factorization.

384528435264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53889 (or 53876 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 384528435264 in words is "three hundred eighty-four billion, five hundred twenty-eight million, four hundred thirty-five thousand, two hundred sixty-four".