8838728000 has 112 divisors (see below), whose sum is σ = 21933310464. Its totient is φ = 3528358400.

The previous prime is 8838727981. The next prime is 8838728011. The reversal of 8838728000 is 8278388.

It is a super-2 number, since 2×8838728000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5943257 + ... + 5944743.

Almost surely, 2^8838728000 is an apocalyptic number.

8838728000 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 8838728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10966655232).

8838728000 is an abundant number, since it is smaller than the sum of its proper divisors (13094582464).

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

8838728000 is a wasteful number, since it uses less digits than its factorization.

8838728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 8838728000 is about 94014.5095184781. The cubic root of 8838728000 is about 2067.5844461062.

The spelling of 8838728000 in words is "eight billion, eight hundred thirty-eight million, seven hundred twenty-eight thousand".