10628673 has 32 divisors (see below), whose sum is σ = 16174080. Its totient is φ = 6152640.

The previous prime is 10628663. The next prime is 10628711. The reversal of 10628673 is 37682601.

It is not a de Polignac number, because 10628673 - 2⁵ = 10628641 is a prime.

It is a super-2 number, since 2×10628673² = 225937379481858, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10628603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103140 + ... + 103242.

It is an arithmetic number, because the mean of its divisors is an integer number (505440).

Almost surely, 2^10628673 is an apocalyptic number.

It is an amenable number.

10628673 is a deficient number, since it is larger than the sum of its proper divisors (5545407).

10628673 is a wasteful number, since it uses less digits than its factorization.

10628673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 10628673 is about 3260.1645663985. The cubic root of 10628673 is about 219.8668133253.

The spelling of 10628673 in words is "ten million, six hundred twenty-eight thousand, six hundred seventy-three".