8238115200 has 576 divisors, whose sum is σ = 32096070720. Its totient is φ = 1851494400.

The previous prime is 8238115159. The next prime is 8238115201. The reversal of 8238115200 is 25118328.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8238115201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39043095 + ... + 39043305.

It is an arithmetic number, because the mean of its divisors is an integer number (55722345).

Almost surely, 2^8238115200 is an apocalyptic number.

8238115200 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 8238115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048035360).

8238115200 is an abundant number, since it is smaller than the sum of its proper divisors (23857955520).

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

8238115200 is a wasteful number, since it uses less digits than its factorization.

8238115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 8238115200 is about 90764.0633731214. The cubic root of 8238115200 is about 2019.6492545279.

The spelling of 8238115200 in words is "eight billion, two hundred thirty-eight million, one hundred fifteen thousand, two hundred".