8882128000 has 128 divisors (see below), whose sum is σ = 22365907200. Its totient is φ = 3507379200.

The previous prime is 8882127983. The next prime is 8882128001. The reversal of 8882128000 is 8212888.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (8882128001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1260487 + ... + 1267513.

It is an arithmetic number, because the mean of its divisors is an integer number (174733650).

Almost surely, 2^8882128000 is an apocalyptic number.

8882128000 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 8882128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182953600).

8882128000 is an abundant number, since it is smaller than the sum of its proper divisors (13483779200).

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

8882128000 is an equidigital number, since it uses as much as digits as its factorization.

8882128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7135 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The square root of 8882128000 is about 94245.0423099274. The cubic root of 8882128000 is about 2070.9630127496.

The spelling of 8882128000 in words is "eight billion, eight hundred eighty-two million, one hundred twenty-eight thousand".