728617 has 8 divisors (see below), whose sum is σ = 771840. Its totient is φ = 686400.

The previous prime is 728579. The next prime is 728627. The reversal of 728617 is 716827.

It is a happy number.

728617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 728617 - 2⁷ = 728489 is a prime.

It is a super-3 number, since 3×728617³ = 1160430552130983339, which contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728627) 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, 1617 + ... + 2017.

It is an arithmetic number, because the mean of its divisors is an integer number (96480).

2⁷²⁸⁶¹⁷ is an apocalyptic number.

It is an amenable number.

728617 is a deficient number, since it is larger than the sum of its proper divisors (43223).

728617 is a wasteful number, since it uses less digits than its factorization.

728617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503.

The product of its digits is 4704, while the sum is 31.

The square root of 728617 is about 853.5906513078. The cubic root of 728617 is about 89.9842359221.

The spelling of 728617 in words is "seven hundred twenty-eight thousand, six hundred seventeen".