8006628 has 24 divisors (see below), whose sum is σ = 21351232. Its totient is φ = 2287584.

The previous prime is 8006623. The next prime is 8006629. The reversal of 8006628 is 8266008.

It is a junction number, because it is equal to n+sod(n) for n = 8006595 and 8006604.

It is not an unprimeable number, because it can be changed into a prime (8006623) 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 7 ways as a sum of consecutive naturals, for example, 47575 + ... + 47742.

Almost surely, 2^8006628 is an apocalyptic number.

It is an amenable number.

8006628 is an abundant number, since it is smaller than the sum of its proper divisors (13344604).

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

8006628 is a wasteful number, since it uses less digits than its factorization.

8006628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95331 (or 95329 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 8006628 is about 2829.5985580997. The cubic root of 8006628 is about 200.0552180867.

The spelling of 8006628 in words is "eight million, six thousand, six hundred twenty-eight".