8286638256 has 240 divisors, whose sum is σ = 26297316864. Its totient is φ = 2510652672.

The previous prime is 8286638221. The next prime is 8286638257. The reversal of 8286638256 is 6528366828.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8286638257) 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, 3385225 + ... + 3387671.

Almost surely, 2^8286638256 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 8286638256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13148658432).

8286638256 is an abundant number, since it is smaller than the sum of its proper divisors (18010678608).

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

8286638256 is a wasteful number, since it uses less digits than its factorization.

8286638256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2532 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 8286638256 is about 91030.9741571516. The cubic root of 8286638256 is about 2023.6067848873.

The spelling of 8286638256 in words is "eight billion, two hundred eighty-six million, six hundred thirty-eight thousand, two hundred fifty-six".