8953228800 has 180 divisors, whose sum is σ = 32041546680. Its totient is φ = 2387496960.

The previous prime is 8953228793. The next prime is 8953228813. The reversal of 8953228800 is 88223598.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 76341 + ... + 154059.

Almost surely, 2^8953228800 is an apocalyptic number.

8953228800 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 8953228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020773340).

8953228800 is an abundant number, since it is smaller than the sum of its proper divisors (23088317880).

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

8953228800 is a wasteful number, since it uses less digits than its factorization.

8953228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77753 (or 77729 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8953228800 is about 94621.5028415846. The cubic root of 8953228800 is about 2076.4743032909.

The spelling of 8953228800 in words is "eight billion, nine hundred fifty-three million, two hundred twenty-eight thousand, eight hundred".