8724828672 has 360 divisors, whose sum is σ = 31028216076. Its totient is φ = 2345140224.

The previous prime is 8724828667. The next prime is 8724828701. The reversal of 8724828672 is 2768284278.

8724828672 is a `hidden beast` number, since 87 + 2 + 482 + 86 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7573176576 + 1151652096 = 87024^2 + 33936^2 .

It is a super-2 number, since 2×8724828672² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3837328 + ... + 3839600.

Almost surely, 2^8724828672 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 8724828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514108038).

8724828672 is an abundant number, since it is smaller than the sum of its proper divisors (22303387404).

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

8724828672 is a wasteful number, since it uses less digits than its factorization.

8724828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2302 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 8724828672 is about 93406.7913590869. The cubic root of 8724828672 is about 2058.6647859284.

The spelling of 8724828672 in words is "eight billion, seven hundred twenty-four million, eight hundred twenty-eight thousand, six hundred seventy-two".