10008628 has 24 divisors (see below), whose sum is σ = 20160000. Its totient is φ = 4258848.

The previous prime is 10008623. The next prime is 10008643. The reversal of 10008628 is 82680001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2973 + ... + 5371.

It is an arithmetic number, because the mean of its divisors is an integer number (840000).

Almost surely, 2^10008628 is an apocalyptic number.

It is an amenable number.

10008628 is an abundant number, since it is smaller than the sum of its proper divisors (10151372).

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

10008628 is a wasteful number, since it uses less digits than its factorization.

10008628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 10008628 is about 3163.6415726185. The cubic root of 10008628 is about 215.5054127333.

Adding to 10008628 its reverse (82680001), we get a palindrome (92688629).

The spelling of 10008628 in words is "ten million, eight thousand, six hundred twenty-eight".