728537441 has 2 divisors, whose sum is σ = 728537442. Its totient is φ = 728537440.

The previous prime is 728537419. The next prime is 728537471. The reversal of 728537441 is 144735827.

728537441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 636300625 + 92236816 = 25225^2 + 9604^2 .

It is an emirp because it is prime and its reverse (144735827) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-728537441 is a prime.

It is a Chen prime.

It is equal to p_37652846 and since 728537441 and 37652846 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (728537471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364268720 + 364268721.

It is an arithmetic number, because the mean of its divisors is an integer number (364268721).

Almost surely, 2^728537441 is an apocalyptic number.

It is an amenable number.

728537441 is a deficient number, since it is larger than the sum of its proper divisors (1).

728537441 is an equidigital number, since it uses as much as digits as its factorization.

728537441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 188160, while the sum is 41.

The square root of 728537441 is about 26991.4327333693. The cubic root of 728537441 is about 899.8096062274.

The spelling of 728537441 in words is "seven hundred twenty-eight million, five hundred thirty-seven thousand, four hundred forty-one".