728312129 has 2 divisors, whose sum is σ = 728312130. Its totient is φ = 728312128.

The previous prime is 728312083. The next prime is 728312159. The reversal of 728312129 is 921213827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 610090000 + 118222129 = 24700^2 + 10873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-728312129 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (728312159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364156064 + 364156065.

It is an arithmetic number, because the mean of its divisors is an integer number (364156065).

Almost surely, 2^728312129 is an apocalyptic number.

It is an amenable number.

728312129 is a deficient number, since it is larger than the sum of its proper divisors (1).

728312129 is an equidigital number, since it uses as much as digits as its factorization.

728312129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 35.

The square root of 728312129 is about 26987.2586418110. The cubic root of 728312129 is about 899.7168364331.

The spelling of 728312129 in words is "seven hundred twenty-eight million, three hundred twelve thousand, one hundred twenty-nine".