8228656404 has 192 divisors, whose sum is σ = 23266414080. Its totient is φ = 2505185280.

The previous prime is 8228656391. The next prime is 8228656409. The reversal of 8228656404 is 4046568228.

8228656404 is a `hidden beast` number, since 8 + 2 + 2 + 86 + 564 + 0 + 4 = 666.

It is a super-2 number, since 2×8228656404² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8228656404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8228656409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10022314 + ... + 10023134.

It is an arithmetic number, because the mean of its divisors is an integer number (121179240).

Almost surely, 2^8228656404 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 8228656404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11633207040).

8228656404 is an abundant number, since it is smaller than the sum of its proper divisors (15037757676).

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

8228656404 is a wasteful number, since it uses less digits than its factorization.

8228656404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8228656404 is about 90711.9419040294. The cubic root of 8228656404 is about 2018.8759884001.

The spelling of 8228656404 in words is "eight billion, two hundred twenty-eight million, six hundred fifty-six thousand, four hundred four".