828704 has 48 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 370944.

The previous prime is 828703. The next prime is 828721. The reversal of 828704 is 407828.

828704 = T₅₉ + T₆₀ + ... + T₁₇₂.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17609 + ... + 17655.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁸²⁸⁷⁰⁴ 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 828704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

828704 is an abundant number, since it is smaller than the sum of its proper divisors (985696).

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

828704 is a wasteful number, since it uses less digits than its factorization.

828704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 828704 is about 910.3318076394. The cubic root of 828704 is about 93.9290244369.

The spelling of 828704 in words is "eight hundred twenty-eight thousand, seven hundred four".