728200 has 48 divisors (see below), whose sum is σ = 1852560. Its totient is φ = 264000.

The previous prime is 728191. The next prime is 728207. The reversal of 728200 is 2827.

It is not an unprimeable number, because it can be changed into a prime (728207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2035 + ... + 2365.

It is an arithmetic number, because the mean of its divisors is an integer number (38595).

2⁷²⁸²⁰⁰ 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 728200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926280).

728200 is an abundant number, since it is smaller than the sum of its proper divisors (1124360).

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

728200 is a wasteful number, since it uses less digits than its factorization.

728200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 728200 is about 853.3463540673. The cubic root of 728200 is about 89.9670661392.

The spelling of 728200 in words is "seven hundred twenty-eight thousand, two hundred".