829928 has 16 divisors (see below), whose sum is σ = 1697760. Its totient is φ = 377200.

The previous prime is 829883. The next prime is 829949.

829928 is nontrivially palindromic in base 10.

829928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 829891 and 829900.

It is an unprimeable number.

829928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4628 + ... + 4803.

It is an arithmetic number, because the mean of its divisors is an integer number (106110).

2⁸²⁹⁹²⁸ is an apocalyptic number.

829928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

829928 is an abundant number, since it is smaller than the sum of its proper divisors (867832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829928 is a wasteful number, since it uses less digits than its factorization.

829928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9448 (or 9444 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 829928 is about 911.0038419238. The cubic root of 829928 is about 93.9752462359.

The spelling of 829928 in words is "eight hundred twenty-nine thousand, nine hundred twenty-eight".