728171441 has 2 divisors, whose sum is σ = 728171442. Its totient is φ = 728171440.

The previous prime is 728171419. The next prime is 728171443. The reversal of 728171441 is 144171827.

728171441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 700713841 + 27457600 = 26471^2 + 5240^2 .

It is a cyclic number.

It is not a de Polignac number, because 728171441 - 2¹⁸ = 727909297 is a prime.

It is a Sophie Germain prime.

Together with 728171443, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (728171443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364085720 + 364085721.

It is an arithmetic number, because the mean of its divisors is an integer number (364085721).

Almost surely, 2^728171441 is an apocalyptic number.

It is an amenable number.

728171441 is a deficient number, since it is larger than the sum of its proper divisors (1).

728171441 is an equidigital number, since it uses as much as digits as its factorization.

728171441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12544, while the sum is 35.

The square root of 728171441 is about 26984.6519525452. The cubic root of 728171441 is about 899.6588999575.

The spelling of 728171441 in words is "seven hundred twenty-eight million, one hundred seventy-one thousand, four hundred forty-one".