8992208000 has 128 divisors (see below), whose sum is σ = 22419212400. Its totient is φ = 3586867200.

The previous prime is 8992207997. The next prime is 8992208003. The reversal of 8992208000 is 8022998.

It is an interprime number because it is at equal distance from previous prime (8992207997) and next prime (8992208003).

It can be written as a sum of positive squares in 8 ways, for example, as 232745536 + 8759462464 = 15256^2 + 93592^2 .

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 (8992208003) 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, 8911496 + ... + 8912504.

Almost surely, 2^8992208000 is an apocalyptic number.

8992208000 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 8992208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11209606200).

8992208000 is an abundant number, since it is smaller than the sum of its proper divisors (13427004400).

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

8992208000 is a wasteful number, since it uses less digits than its factorization.

8992208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 8992208000 is about 94827.2534665009. The cubic root of 8992208000 is about 2079.4833529440.

The spelling of 8992208000 in words is "eight billion, nine hundred ninety-two million, two hundred eight thousand".