728220 has 48 divisors (see below), whose sum is σ = 2086560. Its totient is φ = 189696.

The previous prime is 728209. The next prime is 728261. The reversal of 728220 is 22827.

728220 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728220.

It is an unprimeable number.

728220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3066 + ... + 3294.

It is an arithmetic number, because the mean of its divisors is an integer number (43470).

2⁷²⁸²²⁰ 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 728220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043280).

728220 is an abundant number, since it is smaller than the sum of its proper divisors (1358340).

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

728220 is a wasteful number, since it uses less digits than its factorization.

728220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 292 counting only the distinct ones).

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

The square root of 728220 is about 853.3580725581. The cubic root of 728220 is about 89.9678897796.

The spelling of 728220 in words is "seven hundred twenty-eight thousand, two hundred twenty".