8953328400 has 120 divisors (see below), whose sum is σ = 28825387200. Its totient is φ = 2375493120.

The previous prime is 8953328393. The next prime is 8953328401. The reversal of 8953328400 is 48233598.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (8953328401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220054 + ... + 257546.

It is an arithmetic number, because the mean of its divisors is an integer number (240211560).

Almost surely, 2^8953328400 is an apocalyptic number.

8953328400 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 8953328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14412693600).

8953328400 is an abundant number, since it is smaller than the sum of its proper divisors (19872058800).

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

8953328400 is a wasteful number, since it uses less digits than its factorization.

8953328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37713 (or 37702 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 8953328400 is about 94622.0291475510. The cubic root of 8953328400 is about 2076.4820031602.

The spelling of 8953328400 in words is "eight billion, nine hundred fifty-three million, three hundred twenty-eight thousand, four hundred".