8638228368 has 320 divisors, whose sum is σ = 31914147840. Its totient is φ = 2171059200.

The previous prime is 8638228367. The next prime is 8638228393.

8638228368 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8638228367) 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 63 ways as a sum of consecutive naturals, for example, 1026996 + ... + 1035372.

It is an arithmetic number, because the mean of its divisors is an integer number (99731712).

Almost surely, 2^8638228368 is an apocalyptic number.

8638228368 is a gapful number since it is divisible by the number (88) 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 8638228368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15957073920).

8638228368 is an abundant number, since it is smaller than the sum of its proper divisors (23275919472).

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

8638228368 is a wasteful number, since it uses less digits than its factorization.

8638228368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443 (or 8431 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 8638228368 is about 92942.0699575816. The cubic root of 8638228368 is about 2051.8308741976.

The spelling of 8638228368 in words is "eight billion, six hundred thirty-eight million, two hundred twenty-eight thousand, three hundred sixty-eight".