828920 has 64 divisors (see below), whose sum is σ = 2099520. Its totient is φ = 292864.

The previous prime is 828917. The next prime is 828923. The reversal of 828920 is 29828.

It is an interprime number because it is at equal distance from previous prime (828917) and next prime (828923).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15614 + ... + 15666.

It is an arithmetic number, because the mean of its divisors is an integer number (32805).

2⁸²⁸⁹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049760).

828920 is an abundant number, since it is smaller than the sum of its proper divisors (1270600).

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

828920 is a wasteful number, since it uses less digits than its factorization.

828920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 828920 is about 910.4504379701. The cubic root of 828920 is about 93.9371845306.

The spelling of 828920 in words is "eight hundred twenty-eight thousand, nine hundred twenty".