828200 has 48 divisors (see below), whose sum is σ = 1992060. Its totient is φ = 320000.

The previous prime is 828199. The next prime is 828209. The reversal of 828200 is 2828.

It can be written as a sum of positive squares in 6 ways, for example, as 306916 + 521284 = 554^2 + 722^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828200.

It is not an unprimeable number, because it can be changed into a prime (828209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8150 + ... + 8250.

2⁸²⁸²⁰⁰ 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 828200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996030).

828200 is an abundant number, since it is smaller than the sum of its proper divisors (1163860).

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

828200 is a wasteful number, since it uses less digits than its factorization.

828200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 828200 is about 910.0549433963. The cubic root of 828200 is about 93.9099787026.

It can be divided in two parts, 828 and 200, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 828200 in words is "eight hundred twenty-eight thousand, two hundred".