8422283520 has 864 divisors, whose sum is σ = 36733132800. Its totient is φ = 1737179136.

The previous prime is 8422283503. The next prime is 8422283521. The reversal of 8422283520 is 253822248.

8422283520 is a `hidden beast` number, since 84 + 2 + 228 + 352 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8422283521) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 35239561 + ... + 35239799.

It is an arithmetic number, because the mean of its divisors is an integer number (42515200).

Almost surely, 2^8422283520 is an apocalyptic number.

8422283520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8422283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18366566400).

8422283520 is an abundant number, since it is smaller than the sum of its proper divisors (28310849280).

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

8422283520 is a wasteful number, since it uses less digits than its factorization.

8422283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8422283520 is about 91772.9999509660. Note that the first 4 decimals coincide. The cubic root of 8422283520 is about 2034.5886573084.

The spelling of 8422283520 in words is "eight billion, four hundred twenty-two million, two hundred eighty-three thousand, five hundred twenty".