8218228128 has 96 divisors (see below), whose sum is σ = 24918425280. Its totient is φ = 2343874560.

The previous prime is 8218228127. The next prime is 8218228147.

8218228128 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8218228128.

It is not an unprimeable number, because it can be changed into a prime (8218228121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210943 + ... + 246846.

It is an arithmetic number, because the mean of its divisors is an integer number (259566930).

Almost surely, 2^8218228128 is an apocalyptic number.

8218228128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8218228128 is an abundant number, since it is smaller than the sum of its proper divisors (16700197152).

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

8218228128 is a wasteful number, since it uses less digits than its factorization.

8218228128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457830 (or 457822 counting only the distinct ones).

The product of its digits is 65536, while the sum is 42.

The square root of 8218228128 is about 90654.4435094055. The cubic root of 8218228128 is about 2018.0227792008.

The spelling of 8218228128 in words is "eight billion, two hundred eighteen million, two hundred twenty-eight thousand, one hundred twenty-eight".