8882484000 has 384 divisors, whose sum is σ = 31714405632. Its totient is φ = 2160230400.

The previous prime is 8882483963. The next prime is 8882484001. The reversal of 8882484000 is 4842888.

It is not an unprimeable number, because it can be changed into a prime (8882484001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15131707 + ... + 15132293.

It is an arithmetic number, because the mean of its divisors is an integer number (82589598).

Almost surely, 2^8882484000 is an apocalyptic number.

8882484000 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 8882484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15857202816).

8882484000 is an abundant number, since it is smaller than the sum of its proper divisors (22831921632).

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

8882484000 is a wasteful number, since it uses less digits than its factorization.

8882484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 8882484000 is about 94246.9309845154. The cubic root of 8882484000 is about 2070.9906807808.

The spelling of 8882484000 in words is "eight billion, eight hundred eighty-two million, four hundred eighty-four thousand".