8863813728 has 576 divisors, whose sum is σ = 33556723200. Its totient is φ = 2149908480.

The previous prime is 8863813697. The next prime is 8863813883. The reversal of 8863813728 is 8273183688.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45926400 + ... + 45926592.

It is an arithmetic number, because the mean of its divisors is an integer number (58258200).

Almost surely, 2^8863813728 is an apocalyptic number.

8863813728 is a gapful number since it is divisible by the number (88) 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 8863813728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778361600).

8863813728 is an abundant number, since it is smaller than the sum of its proper divisors (24692909472).

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

8863813728 is a wasteful number, since it uses less digits than its factorization.

8863813728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 8863813728 is about 94147.8291199537. The cubic root of 8863813728 is about 2069.5386439437.

The spelling of 8863813728 in words is "eight billion, eight hundred sixty-three million, eight hundred thirteen thousand, seven hundred twenty-eight".