728929 has 2 divisors, whose sum is σ = 728930. Its totient is φ = 728928.

The previous prime is 728927. The next prime is 728941. The reversal of 728929 is 929827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 3025 = 852^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 728929 - 2¹ = 728927 is a prime.

Together with 728927, it forms a pair of twin primes.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (728921) 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, 364464 + 364465.

It is an arithmetic number, because the mean of its divisors is an integer number (364465).

2⁷²⁸⁹²⁹ is an apocalyptic number.

It is an amenable number.

728929 is a deficient number, since it is larger than the sum of its proper divisors (1).

728929 is an equidigital number, since it uses as much as digits as its factorization.

728929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 37.

The square root of 728929 is about 853.7733891379. The cubic root of 728929 is about 89.9970780944.

The spelling of 728929 in words is "seven hundred twenty-eight thousand, nine hundred twenty-nine".