728917 has 8 divisors (see below), whose sum is σ = 842112. Its totient is φ = 618000.

The previous prime is 728911. The next prime is 728921. The reversal of 728917 is 719827.

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 728917 - 2¹⁵ = 696149 is a prime.

It is a Duffinian number.

728917 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192 + ... + 1222.

It is an arithmetic number, because the mean of its divisors is an integer number (105264).

2⁷²⁸⁹¹⁷ is an apocalyptic number.

It is an amenable number.

728917 is a deficient number, since it is larger than the sum of its proper divisors (113195).

728917 is a wasteful number, since it uses less digits than its factorization.

728917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139.

The product of its digits is 7056, while the sum is 34.

The square root of 728917 is about 853.7663614830. The cubic root of 728917 is about 89.9965842325.

The spelling of 728917 in words is "seven hundred twenty-eight thousand, nine hundred seventeen".