728807 has 8 divisors (see below), whose sum is σ = 790416. Its totient is φ = 669312.

The previous prime is 728771. The next prime is 728809. The reversal of 728807 is 708827.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 728807 - 2⁶ = 728743 is a prime.

It is a Duffinian number.

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 728807.

It is not an unprimeable number, because it can be changed into a prime (728809) 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 7 ways as a sum of consecutive naturals, for example, 233 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (98802).

2⁷²⁸⁸⁰⁷ is an apocalyptic number.

728807 is a deficient number, since it is larger than the sum of its proper divisors (61609).

728807 is a wasteful number, since it uses less digits than its factorization.

728807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057.

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 728807 is about 853.7019386179. The cubic root of 728807 is about 89.9920569122.

The spelling of 728807 in words is "seven hundred twenty-eight thousand, eight hundred seven".