2828200 has 48 divisors (see below), whose sum is σ = 6696000. Its totient is φ = 1110720.

The previous prime is 2828197. The next prime is 2828209. The reversal of 2828200 is 28282.

2828200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15711 + ... + 15889.

It is an arithmetic number, because the mean of its divisors is an integer number (139500).

2^2828200 is an apocalyptic number.

2828200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348000).

2828200 is an abundant number, since it is smaller than the sum of its proper divisors (3867800).

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

2828200 is a wasteful number, since it uses less digits than its factorization.

2828200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2828200 is about 1681.7253045608. The cubic root of 2828200 is about 141.4175707235.

Multiplying 2828200 by its reverse (28282), we get a square (79987152400 = 282820²).

2828200 divided by its reverse (28282) gives a square (100 = 10²).

The spelling of 2828200 in words is "two million, eight hundred twenty-eight thousand, two hundred".