8753284224 has 256 divisors, whose sum is σ = 27495936000. Its totient is φ = 2731917312.

The previous prime is 8753284193. The next prime is 8753284231. The reversal of 8753284224 is 4224823578.

It is a super-2 number, since 2×8753284224² (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 8753284224.

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 31 ways as a sum of consecutive naturals, for example, 22501822 + ... + 22502210.

It is an arithmetic number, because the mean of its divisors is an integer number (107406000).

Almost surely, 2^8753284224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8753284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13747968000).

8753284224 is an abundant number, since it is smaller than the sum of its proper divisors (18742651776).

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

8753284224 is a wasteful number, since it uses less digits than its factorization.

8753284224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 794 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 8753284224 is about 93558.9879380918. The cubic root of 8753284224 is about 2060.9004314473.

The spelling of 8753284224 in words is "eight billion, seven hundred fifty-three million, two hundred eighty-four thousand, two hundred twenty-four".