10828629 has 24 divisors (see below), whose sum is σ = 18495360. Its totient is φ = 5973408.

The previous prime is 10828627. The next prime is 10828667. The reversal of 10828629 is 92682801.

10828629 is a `hidden beast` number, since 1 + 0 + 8 + 28 + 629 = 666.

It is not a de Polignac number, because 10828629 - 2¹ = 10828627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10828593 and 10828602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10828621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1137 + ... + 4790.

It is an arithmetic number, because the mean of its divisors is an integer number (770640).

Almost surely, 2^10828629 is an apocalyptic number.

It is an amenable number.

10828629 is a deficient number, since it is larger than the sum of its proper divisors (7666731).

10828629 is a wasteful number, since it uses less digits than its factorization.

10828629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969 (or 5966 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10828629 is about 3290.6882258883. The cubic root of 10828629 is about 221.2370326595.

The spelling of 10828629 in words is "ten million, eight hundred twenty-eight thousand, six hundred twenty-nine".