10506628 has 24 divisors (see below), whose sum is σ = 20291040. Its totient is φ = 4720320.

The previous prime is 10506623. The next prime is 10506637. The reversal of 10506628 is 82660501.

It is a super-2 number, since 2×10506628² = 220778463860768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506596 and 10506605.

It is not an unprimeable number, because it can be changed into a prime (10506623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2575 + ... + 5257.

It is an arithmetic number, because the mean of its divisors is an integer number (845460).

Almost surely, 2^10506628 is an apocalyptic number.

It is an amenable number.

10506628 is a deficient number, since it is larger than the sum of its proper divisors (9784412).

10506628 is a wasteful number, since it uses less digits than its factorization.

10506628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 10506628 is about 3241.3929104630. The cubic root of 10506628 is about 219.0220226250.

The spelling of 10506628 in words is "ten million, five hundred six thousand, six hundred twenty-eight".