728829209 has 2 divisors, whose sum is σ = 728829210. Its totient is φ = 728829208.

The previous prime is 728829187. The next prime is 728829259. The reversal of 728829209 is 902928827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 589518400 + 139310809 = 24280^2 + 11803^2 .

It is an emirp because it is prime and its reverse (902928827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 728829209 - 2¹² = 728825113 is a prime.

It is not a weakly prime, because it can be changed into another prime (728829259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364414604 + 364414605.

It is an arithmetic number, because the mean of its divisors is an integer number (364414605).

Almost surely, 2^728829209 is an apocalyptic number.

It is an amenable number.

728829209 is a deficient number, since it is larger than the sum of its proper divisors (1).

728829209 is an equidigital number, since it uses as much as digits as its factorization.

728829209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 728829209 is about 26996.8370184361. The cubic root of 728829209 is about 899.9297101484.

The spelling of 728829209 in words is "seven hundred twenty-eight million, eight hundred twenty-nine thousand, two hundred nine".