8828331264 has 360 divisors, whose sum is σ = 27846209160. Its totient is φ = 2777628672.

The previous prime is 8828331263. The next prime is 8828331299. The reversal of 8828331264 is 4621338288.

8828331264 is a `hidden beast` number, since 88 + 283 + 31 + 264 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 985457664 + 7842873600 = 31392^2 + 88560^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8828331263) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31871094 + ... + 31871370.

It is an arithmetic number, because the mean of its divisors is an integer number (77350581).

Almost surely, 2^8828331264 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 8828331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923104580).

8828331264 is an abundant number, since it is smaller than the sum of its proper divisors (19017877896).

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

8828331264 is a wasteful number, since it uses less digits than its factorization.

8828331264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 364 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 8828331264 is about 93959.1999965943. The cubic root of 8828331264 is about 2066.7734484311.

The spelling of 8828331264 in words is "eight billion, eight hundred twenty-eight million, three hundred thirty-one thousand, two hundred sixty-four".