8315328000 has 640 divisors, whose sum is σ = 33092167680. Its totient is φ = 1811251200.

The previous prime is 8315327989. The next prime is 8315328011. The reversal of 8315328000 is 8235138.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8315327989) and next prime (8315328011).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30911866 + ... + 30912134.

It is an arithmetic number, because the mean of its divisors is an integer number (51706512).

Almost surely, 2^8315328000 is an apocalyptic number.

8315328000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8315328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546083840).

8315328000 is an abundant number, since it is smaller than the sum of its proper divisors (24776839680).

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

8315328000 is a wasteful number, since it uses less digits than its factorization.

8315328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8315328000 is about 91188.4203174943. The cubic root of 8315328000 is about 2025.9394513085.

The spelling of 8315328000 in words is "eight billion, three hundred fifteen million, three hundred twenty-eight thousand".