8573315328 has 216 divisors, whose sum is σ = 25202851128. Its totient is φ = 2802548736.

The previous prime is 8573315293. The next prime is 8573315347. The reversal of 8573315328 is 8235133758.

8573315328 is a `hidden beast` number, since 8 + 5 + 7 + 3 + 315 + 328 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2496801024 + 6076514304 = 49968^2 + 77952^2 .

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, 49556650 + ... + 49556822.

Almost surely, 2^8573315328 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 8573315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12601425564).

8573315328 is an abundant number, since it is smaller than the sum of its proper divisors (16629535800).

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

8573315328 is a wasteful number, since it uses less digits than its factorization.

8573315328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 472 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 8573315328 is about 92592.1990666600. The cubic root of 8573315328 is about 2046.6783668595.

The spelling of 8573315328 in words is "eight billion, five hundred seventy-three million, three hundred fifteen thousand, three hundred twenty-eight".