2728200 has 48 divisors (see below), whose sum is σ = 8459280. Its totient is φ = 727360.

The previous prime is 2728199. The next prime is 2728207. The reversal of 2728200 is 28272.

It is not an unprimeable number, because it can be changed into a prime (2728207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1674 + ... + 2873.

It is an arithmetic number, because the mean of its divisors is an integer number (176235).

2^2728200 is an apocalyptic number.

2728200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2728200 is an abundant number, since it is smaller than the sum of its proper divisors (5731080).

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

2728200 is a wasteful number, since it uses less digits than its factorization.

2728200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2728200 is about 1651.7263695903. The cubic root of 2728200 is about 139.7307751200.

The spelling of 2728200 in words is "two million, seven hundred twenty-eight thousand, two hundred".