829428 has 12 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 276472.

The previous prime is 829399. The next prime is 829453. The reversal of 829428 is 824928.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 829428.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34548 + ... + 34571.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

2⁸²⁹⁴²⁸ is an apocalyptic number.

It is an amenable number.

829428 is an abundant number, since it is smaller than the sum of its proper divisors (1105932).

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

829428 is a wasteful number, since it uses less digits than its factorization.

829428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69126 (or 69124 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 829428 is about 910.7293780262. The cubic root of 829428 is about 93.9563702762.

It can be divided in two parts, 8294 and 28, that multiplied together give a palindrome (232232).

The spelling of 829428 in words is "eight hundred twenty-nine thousand, four hundred twenty-eight".