5728200 has 48 divisors (see below), whose sum is σ = 17759280. Its totient is φ = 1527360.

The previous prime is 5728199. The next prime is 5728207. The reversal of 5728200 is 28275.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5728207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4174 + ... + 5373.

It is an arithmetic number, because the mean of its divisors is an integer number (369985).

Almost surely, 2^5728200 is an apocalyptic number.

5728200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5728200 is an abundant number, since it is smaller than the sum of its proper divisors (12031080).

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

5728200 is a wasteful number, since it uses less digits than its factorization.

5728200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9566 (or 9557 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5728200 is about 2393.3658307914. The cubic root of 5728200 is about 178.9256997377.

The spelling of 5728200 in words is "five million, seven hundred twenty-eight thousand, two hundred".