8528016384 has 66 divisors (see below), whose sum is σ = 24624488850. Its totient is φ = 2842669056.

The previous prime is 8528016319. The next prime is 8528016407. The reversal of 8528016384 is 4836108258.

8528016384 is a `hidden beast` number, since 8 + 5 + 2 + 8 + 0 + 1 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8195318784 + 332697600 = 90528^2 + 18240^2 .

It is a super-3 number, since 3×8528016384³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 453459 + ... + 471890.

Almost surely, 2^8528016384 is an apocalyptic number.

It is an amenable number.

8528016384 is an abundant number, since it is smaller than the sum of its proper divisors (16096472466).

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

8528016384 is a wasteful number, since it uses less digits than its factorization.

8528016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925375 (or 925354 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8528016384 is about 92347.2597536061. The cubic root of 8528016384 is about 2043.0673119088.

The spelling of 8528016384 in words is "eight billion, five hundred twenty-eight million, sixteen thousand, three hundred eighty-four".