828736 has 28 divisors (see below), whose sum is σ = 1719072. Its totient is φ = 395648.

The previous prime is 828731. The next prime is 828743. The reversal of 828736 is 637828.

It is a happy number.

It is a d-powerful number, because it can be written as 8 + 2⁵ + 7⁵ + 8³ + 3¹² + 6⁷ .

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 (828731) by changing a digit.

828736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1191 + ... + 1753.

2⁸²⁸⁷³⁶ 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 828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859536).

828736 is an abundant number, since it is smaller than the sum of its proper divisors (890336).

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

828736 is a wasteful number, since it uses less digits than its factorization.

828736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 588 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 828736 is about 910.3493834787. The cubic root of 828736 is about 93.9302334292.

The spelling of 828736 in words is "eight hundred twenty-eight thousand, seven hundred thirty-six".