729128429 has 2 divisors, whose sum is σ = 729128430. Its totient is φ = 729128428.

The previous prime is 729128399. The next prime is 729128441. The reversal of 729128429 is 924821927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 609991204 + 119137225 = 24698^2 + 10915^2 .

It is a cyclic number.

It is not a de Polignac number, because 729128429 - 2²⁰ = 728079853 is a prime.

It is a Chen prime.

It is equal to p_37681559 and since 729128429 and 37681559 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 729128429.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (729128459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364564214 + 364564215.

It is an arithmetic number, because the mean of its divisors is an integer number (364564215).

Almost surely, 2^729128429 is an apocalyptic number.

It is an amenable number.

729128429 is a deficient number, since it is larger than the sum of its proper divisors (1).

729128429 is an equidigital number, since it uses as much as digits as its factorization.

729128429 is an evil number, because the sum of its binary digits is even.

The product of its digits is 145152, while the sum is 44.

The square root of 729128429 is about 27002.3782100762. The cubic root of 729128429 is about 900.0528483370.

The spelling of 729128429 in words is "seven hundred twenty-nine million, one hundred twenty-eight thousand, four hundred twenty-nine".