728805 has 32 divisors (see below), whose sum is σ = 1456128. Its totient is φ = 302400.

The previous prime is 728771. The next prime is 728809. The reversal of 728805 is 508827.

728805 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 728805 - 2⁹ = 728293 is a prime.

728805 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840 + ... + 1470.

It is an arithmetic number, because the mean of its divisors is an integer number (45504).

2⁷²⁸⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

728805 is a deficient number, since it is larger than the sum of its proper divisors (727323).

728805 is a wasteful number, since it uses less digits than its factorization.

728805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 728805 is about 853.7007672481. The cubic root of 728805 is about 89.9919745930.

The spelling of 728805 in words is "seven hundred twenty-eight thousand, eight hundred five".