828900 has 72 divisors (see below), whose sum is σ = 2673440. Its totient is φ = 220320.

The previous prime is 828899. The next prime is 828901. The reversal of 828900 is 9828.

828900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (828899) and next prime (828901).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (828901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2547 + ... + 2853.

2⁸²⁸⁹⁰⁰ 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 828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336720).

828900 is an abundant number, since it is smaller than the sum of its proper divisors (1844540).

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

828900 is a wasteful number, since it uses less digits than its factorization.

828900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 828900 is about 910.4394543296. The cubic root of 828900 is about 93.9364290259.

It can be divided in two parts, 828 and 900, that added together give a cube (1728 = 12³).

The spelling of 828900 in words is "eight hundred twenty-eight thousand, nine hundred".