8287313328 has 240 divisors, whose sum is σ = 27615184896. Its totient is φ = 2270177280.

The previous prime is 8287313303. The next prime is 8287313329. The reversal of 8287313328 is 8233137828.

8287313328 is a `hidden beast` number, since 8 + 2 + 8 + 7 + 313 + 328 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8287313329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3529851 + ... + 3532197.

Almost surely, 2^8287313328 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 8287313328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807592448).

8287313328 is an abundant number, since it is smaller than the sum of its proper divisors (19327871568).

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

8287313328 is a wasteful number, since it uses less digits than its factorization.

8287313328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2503 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 8287313328 is about 91034.6820063650. The cubic root of 8287313328 is about 2023.6617345200.

The spelling of 8287313328 in words is "eight billion, two hundred eighty-seven million, three hundred thirteen thousand, three hundred twenty-eight".