8689728000 has 160 divisors (see below), whose sum is σ = 28891811520. Its totient is φ = 2317209600.

The previous prime is 8689727989. The next prime is 8689728029. The reversal of 8689728000 is 8279868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×8689728000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169371 + ... + 214629.

It is an arithmetic number, because the mean of its divisors is an integer number (180573822).

Almost surely, 2^8689728000 is an apocalyptic number.

8689728000 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 8689728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445905760).

8689728000 is an abundant number, since it is smaller than the sum of its proper divisors (20202083520).

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

8689728000 is an equidigital number, since it uses as much as digits as its factorization.

8689728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45295 (or 45269 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 8689728000 is about 93218.7105682116. The cubic root of 8689728000 is about 2055.9003519762.

The spelling of 8689728000 in words is "eight billion, six hundred eighty-nine million, seven hundred twenty-eight thousand".