728567600 has 60 divisors (see below), whose sum is σ = 1757938080. Its totient is φ = 290169600.

The previous prime is 728567569. The next prime is 728567639. The reversal of 728567600 is 6765827.

It is a happy number.

728567600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91790 + ... + 99410.

It is an arithmetic number, because the mean of its divisors is an integer number (29298968).

Almost surely, 2^728567600 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 728567600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878969040).

728567600 is an abundant number, since it is smaller than the sum of its proper divisors (1029370480).

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

728567600 is a wasteful number, since it uses less digits than its factorization.

728567600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 728567600 is about 26991.9914048593. The cubic root of 728567600 is about 899.8220224199.

The spelling of 728567600 in words is "seven hundred twenty-eight million, five hundred sixty-seven thousand, six hundred".