728993 has 2 divisors, whose sum is σ = 728994. Its totient is φ = 728992.

The previous prime is 728971. The next prime is 729019. The reversal of 728993 is 399827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 667489 + 61504 = 817^2 + 248^2 .

It is a cyclic number.

It is not a de Polignac number, because 728993 - 2⁶ = 728929 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (728953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364496 + 364497.

It is an arithmetic number, because the mean of its divisors is an integer number (364497).

728993 is a Friedman number, since it can be written as (9*(8+2))^(9/3)-7, using all its digits and the basic arithmetic operations.

2⁷²⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

728993 is a deficient number, since it is larger than the sum of its proper divisors (1).

728993 is an equidigital number, since it uses as much as digits as its factorization.

728993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 38.

The square root of 728993 is about 853.8108689868. The cubic root of 728993 is about 89.9997119332. Note that the first 3 decimals are identical.

The spelling of 728993 in words is "seven hundred twenty-eight thousand, nine hundred ninety-three".