8228008228 has 72 divisors (see below), whose sum is σ = 16925647032. Its totient is φ = 3484800000.

The previous prime is 8228008223. The next prime is 8228008297.

8228008228 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6701387044 + 1526621184 = 81862^2 + 39072^2 .

It is not an unprimeable number, because it can be changed into a prime (8228008223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826078 + ... + 835978.

It is an arithmetic number, because the mean of its divisors is an integer number (235078431).

Almost surely, 2^8228008228 is an apocalyptic number.

It is an amenable number.

8228008228 is an abundant number, since it is smaller than the sum of its proper divisors (8697638804).

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

8228008228 is a wasteful number, since it uses less digits than its factorization.

8228008228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045 (or 10032 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 8228008228 is about 90708.3691177391. The cubic root of 8228008228 is about 2018.8229776671.

It can be divided in two parts, 822800 and 8228, that multiplied together give a square (6769998400 = 82280²).

The spelling of 8228008228 in words is "eight billion, two hundred twenty-eight million, eight thousand, two hundred twenty-eight".