10628629 has 16 divisors (see below), whose sum is σ = 12165120. Its totient is φ = 9198000.

The previous prime is 10628623. The next prime is 10628641. The reversal of 10628629 is 92682601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10628629 - 2²¹ = 8531477 is a prime.

It is a super-2 number, since 2×10628629² = 225935508839282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10628594 and 10628603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10628623) 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, 23992 + ... + 24430.

It is an arithmetic number, because the mean of its divisors is an integer number (760320).

Almost surely, 2^10628629 is an apocalyptic number.

It is an amenable number.

10628629 is a deficient number, since it is larger than the sum of its proper divisors (1536491).

10628629 is a wasteful number, since it uses less digits than its factorization.

10628629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 10628629 is about 3260.1578182659. The cubic root of 10628629 is about 219.8665099273.

The spelling of 10628629 in words is "ten million, six hundred twenty-eight thousand, six hundred twenty-nine".