829128 has 32 divisors (see below), whose sum is σ = 2095200. Its totient is φ = 273408.

The previous prime is 829123. The next prime is 829151. The reversal of 829128 is 821928.

It is a junction number, because it is equal to n+sod(n) for n = 829095 and 829104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829128.

It is not an unprimeable number, because it can be changed into a prime (829121) by changing a digit.

829128 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 7 ways as a sum of consecutive naturals, for example, 4200 + ... + 4392.

It is an arithmetic number, because the mean of its divisors is an integer number (65475).

2⁸²⁹¹²⁸ is an apocalyptic number.

It is an amenable number.

829128 is an abundant number, since it is smaller than the sum of its proper divisors (1266072).

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

829128 is a wasteful number, since it uses less digits than its factorization.

829128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 829128 is about 910.5646599775. The cubic root of 829128 is about 93.9450410589.

The spelling of 829128 in words is "eight hundred twenty-nine thousand, one hundred twenty-eight".