9286827264 has 432 divisors, whose sum is σ = 31980783744. Its totient is φ = 2554675200.

The previous prime is 9286827259. The next prime is 9286827271. The reversal of 9286827264 is 4627286829.

It is a self number, because there is not a number n which added to its sum of digits gives 9286827264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23392314 + ... + 23392710.

It is an arithmetic number, because the mean of its divisors is an integer number (74029592).

Almost surely, 2^9286827264 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 9286827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990391872).

9286827264 is an abundant number, since it is smaller than the sum of its proper divisors (22693956480).

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

9286827264 is a wasteful number, since it uses less digits than its factorization.

9286827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 497 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 9286827264 is about 96368.1859536642. The cubic root of 9286827264 is about 2101.9503622019.

The spelling of 9286827264 in words is "nine billion, two hundred eighty-six million, eight hundred twenty-seven thousand, two hundred sixty-four".