8117928200 has 108 divisors (see below), whose sum is σ = 19801965015. Its totient is φ = 3094776960.

The previous prime is 8117928199. The next prime is 8117928233. The reversal of 8117928200 is 28297118.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 647091844 + 7470836356 = 25438^2 + 86434^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=63710.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29306462 + ... + 29306738.

Almost surely, 2^8117928200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8117928200

8117928200 is an abundant number, since it is smaller than the sum of its proper divisors (11684036815).

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

8117928200 is a wasteful number, since it uses less digits than its factorization.

8117928200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 8117928200 is about 90099.5460587899. The cubic root of 8117928200 is about 2009.7794532071.

The spelling of 8117928200 in words is "eight billion, one hundred seventeen million, nine hundred twenty-eight thousand, two hundred".