828500 has 24 divisors (see below), whose sum is σ = 1810536. Its totient is φ = 331200.

The previous prime is 828449. The next prime is 828517. The reversal of 828500 is 5828.

It can be written as a sum of positive squares in 4 ways, for example, as 75076 + 753424 = 274^2 + 868^2 .

It is a congruent number.

It is an unprimeable number.

828500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (75439).

2⁸²⁸⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

828500 is an abundant number, since it is smaller than the sum of its proper divisors (982036).

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

828500 is a wasteful number, since it uses less digits than its factorization.

828500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 828500 is about 910.2197536859. The cubic root of 828500 is about 93.9213163797.

The spelling of 828500 in words is "eight hundred twenty-eight thousand, five hundred".