8909328000 has 256 divisors, whose sum is σ = 31092048000. Its totient is φ = 2250547200.

The previous prime is 8909327993. The next prime is 8909328017. The reversal of 8909328000 is 8239098.

It is a super-2 number, since 2×8909328000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8909328000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907116 + ... + 916884.

Almost surely, 2^8909328000 is an apocalyptic number.

8909328000 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 8909328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15546024000).

8909328000 is an abundant number, since it is smaller than the sum of its proper divisors (22182720000).

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

8909328000 is a wasteful number, since it uses less digits than its factorization.

8909328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9820 (or 9798 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 8909328000 is about 94389.2366745277. The cubic root of 8909328000 is about 2073.0748486761.

The spelling of 8909328000 in words is "eight billion, nine hundred nine million, three hundred twenty-eight thousand".