10009628 has 6 divisors (see below), whose sum is σ = 17516856. Its totient is φ = 5004812.

The previous prime is 10009627. The next prime is 10009679. The reversal of 10009628 is 82690001.

It is a junction number, because it is equal to n+sod(n) for n = 10009597 and 10009606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1251200 + ... + 1251207.

It is an arithmetic number, because the mean of its divisors is an integer number (2919476).

Almost surely, 2^10009628 is an apocalyptic number.

It is an amenable number.

10009628 is a deficient number, since it is larger than the sum of its proper divisors (7507228).

10009628 is a wasteful number, since it uses less digits than its factorization.

10009628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502411 (or 2502409 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10009628 is about 3163.7996143877. The cubic root of 10009628 is about 215.5125898154.

Adding to 10009628 its reverse (82690001), we get a palindrome (92699629).

The spelling of 10009628 in words is "ten million, nine thousand, six hundred twenty-eight".