8325928000 has 224 divisors, whose sum is σ = 22366955520. Its totient is φ = 3051878400.

The previous prime is 8325927959. The next prime is 8325928001. The reversal of 8325928000 is 8295238.

It is a super-2 number, since 2×8325928000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8325928001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23191821 + ... + 23192179.

It is an arithmetic number, because the mean of its divisors is an integer number (99852480).

Almost surely, 2^8325928000 is an apocalyptic number.

8325928000 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 8325928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11183477760).

8325928000 is an abundant number, since it is smaller than the sum of its proper divisors (14041027520).

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

8325928000 is a wasteful number, since it uses less digits than its factorization.

8325928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 8325928000 is about 91246.5232214357. The cubic root of 8325928000 is about 2026.7999441053.

The spelling of 8325928000 in words is "eight billion, three hundred twenty-five million, nine hundred twenty-eight thousand".