8728752000 has 512 divisors, whose sum is σ = 32307724800. Its totient is φ = 2071756800.

The previous prime is 8728751971. The next prime is 8728752047. The reversal of 8728752000 is 2578278.

It is a super-2 number, since 2×8728752000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8728752000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15503719 + ... + 15504281.

It is an arithmetic number, because the mean of its divisors is an integer number (63101025).

Almost surely, 2^8728752000 is an apocalyptic number.

8728752000 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 8728752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16153862400).

8728752000 is an abundant number, since it is smaller than the sum of its proper divisors (23578972800).

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

8728752000 is a wasteful number, since it uses less digits than its factorization.

8728752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 8728752000 is about 93427.7902981763. The cubic root of 8728752000 is about 2058.9733156489.

The spelling of 8728752000 in words is "eight billion, seven hundred twenty-eight million, seven hundred fifty-two thousand".