829628 has 12 divisors (see below), whose sum is σ = 1458240. Its totient is φ = 412992.

The previous prime is 829627. The next prime is 829637. The reversal of 829628 is 826928.

829628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829628.

It is not an unprimeable number, because it can be changed into a prime (829627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1493 + ... + 1971.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

2⁸²⁹⁶²⁸ is an apocalyptic number.

It is an amenable number.

829628 is a deficient number, since it is larger than the sum of its proper divisors (628612).

829628 is a wasteful number, since it uses less digits than its factorization.

829628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 914 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 829628 is about 910.8391735098. The cubic root of 829628 is about 93.9639215701.

The spelling of 829628 in words is "eight hundred twenty-nine thousand, six hundred twenty-eight".