8208668628 has 180 divisors, whose sum is σ = 22932423360. Its totient is φ = 2559056544.

The previous prime is 8208668627. The next prime is 8208668659. The reversal of 8208668628 is 8268668028.

8208668628 is a `hidden beast` number, since 8 + 2 + 0 + 8 + 6 + 6 + 8 + 628 = 666.

It is a super-2 number, since 2×8208668628² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8208668623) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8055103 + ... + 8056121.

It is an arithmetic number, because the mean of its divisors is an integer number (127402352).

Almost surely, 2^8208668628 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 8208668628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466211680).

8208668628 is an abundant number, since it is smaller than the sum of its proper divisors (14723754732).

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

8208668628 is a wasteful number, since it uses less digits than its factorization.

8208668628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 8208668628 is about 90601.7032290232. The cubic root of 8208668628 is about 2017.2400162494.

The spelling of 8208668628 in words is "eight billion, two hundred eight million, six hundred sixty-eight thousand, six hundred twenty-eight".