10628849 has 16 divisors (see below), whose sum is σ = 13332480. Its totient is φ = 8231760.

The previous prime is 10628843. The next prime is 10628857. The reversal of 10628849 is 94882601.

10628849 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10628849 - 2⁸ = 10628593 is a prime.

It is a super-2 number, since 2×10628849² = 225944862129602, which contains 22 as substring.

10628849 is strictly pandigital in base 8.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10628843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16862 + ... + 17480.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 2^10628849 is an apocalyptic number.

It is an amenable number.

10628849 is a deficient number, since it is larger than the sum of its proper divisors (2703631).

10628849 is a wasteful number, since it uses less digits than its factorization.

10628849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860.

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 10628849 is about 3260.1915587891. The cubic root of 10628849 is about 219.8680269087.

The spelling of 10628849 in words is "ten million, six hundred twenty-eight thousand, eight hundred forty-nine".