8282911392 has 288 divisors, whose sum is σ = 28285588800. Its totient is φ = 2351172096.

The previous prime is 8282911369. The next prime is 8282911453. The reversal of 8282911392 is 2931192828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8282911392² (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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7577598 + ... + 7578690.

It is an arithmetic number, because the mean of its divisors is an integer number (98213850).

Almost surely, 2^8282911392 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 8282911392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14142794400).

8282911392 is an abundant number, since it is smaller than the sum of its proper divisors (20002677408).

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

8282911392 is a wasteful number, since it uses less digits than its factorization.

8282911392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1284 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 8282911392 is about 91010.5015478983. The cubic root of 8282911392 is about 2023.3033712094.

The spelling of 8282911392 in words is "eight billion, two hundred eighty-two million, nine hundred eleven thousand, three hundred ninety-two".