728313 has 8 divisors (see below), whose sum is σ = 980928. Its totient is φ = 480624.

The previous prime is 728303. The next prime is 728317. The reversal of 728313 is 313827.

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

It is not a de Polignac number, because 728313 - 2⁵ = 728281 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (728317) 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, 870 + ... + 1487.

It is an arithmetic number, because the mean of its divisors is an integer number (122616).

2⁷²⁸³¹³ is an apocalyptic number.

It is an amenable number.

728313 is a deficient number, since it is larger than the sum of its proper divisors (252615).

728313 is a wasteful number, since it uses less digits than its factorization.

728313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463.

The product of its digits is 1008, while the sum is 24.

The square root of 728313 is about 853.4125614262. The cubic root of 728313 is about 89.9717195095.

It can be divided in two parts, 72 and 8313, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 728313 in words is "seven hundred twenty-eight thousand, three hundred thirteen".