8282920356 has 144 divisors (see below), whose sum is σ = 23141873664. Its totient is φ = 2584413216.

The previous prime is 8282920313. The next prime is 8282920367. The reversal of 8282920356 is 6530292828.

It is a happy number.

8282920356 is a `hidden beast` number, since 8 + 2 + 8 + 292 + 0 + 356 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046791 + ... + 1054673.

It is an arithmetic number, because the mean of its divisors is an integer number (160707456).

Almost surely, 2^8282920356 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 8282920356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11570936832).

8282920356 is an abundant number, since it is smaller than the sum of its proper divisors (14858953308).

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

8282920356 is a wasteful number, since it uses less digits than its factorization.

8282920356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8282920356 is about 91010.5507949490. The cubic root of 8282920356 is about 2023.3041011011.

The spelling of 8282920356 in words is "eight billion, two hundred eighty-two million, nine hundred twenty thousand, three hundred fifty-six".