828828 has 144 divisors (see below), whose sum is σ = 2935296. Its totient is φ = 190080.

The previous prime is 828823. The next prime is 828829.

828828 = 37³ + 38³ + ... + 47³.

828828 is nontrivially palindromic in base 10.

828828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

828828 is a nontrivial binomial coefficient, being equal to C(1288, 2).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (16384) is a multiple of the sum of its prime factors (64).

It is a junction number, because it is equal to n+sod(n) for n = 828792 and 828801.

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 828828.

It is not an unprimeable number, because it can be changed into a prime (828823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36025 + ... + 36047.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2⁸²⁸⁸²⁸ is an apocalyptic number.

828828 is the 1287-th triangular number and also the 644-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648).

828828 is an abundant number, since it is smaller than the sum of its proper divisors (2106468).

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

828828 is a wasteful number, since it uses less digits than its factorization.

828828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 59 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 828828 is about 910.3999121265. The cubic root of 828828 is about 93.9337091085.

The spelling of 828828 in words is "eight hundred twenty-eight thousand, eight hundred twenty-eight".