828688 has 40 divisors (see below), whose sum is σ = 1884800. Its totient is φ = 352800.

The previous prime is 828677. The next prime is 828691. The reversal of 828688 is 886828.

It is a d-powerful number, because it can be written as 8⁴ + 2¹⁹ + 6⁴ + 8⁴ + 8⁵ + 8⁶ .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 828688.

It is a congruent number.

It is an unprimeable number.

828688 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 7 ways as a sum of consecutive naturals, for example, 5413 + ... + 5563.

It is an arithmetic number, because the mean of its divisors is an integer number (47120).

2⁸²⁸⁶⁸⁸ 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 828688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942400).

828688 is an abundant number, since it is smaller than the sum of its proper divisors (1056112).

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

828688 is a wasteful number, since it uses less digits than its factorization.

828688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its digits is 49152, while the sum is 40.

The square root of 828688 is about 910.3230195925. The cubic root of 828688 is about 93.9284199291.

The spelling of 828688 in words is "eight hundred twenty-eight thousand, six hundred eighty-eight".