728592541 has 2 divisors, whose sum is σ = 728592542. Its totient is φ = 728592540.

The previous prime is 728592517. The next prime is 728592581. The reversal of 728592541 is 145295827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 673402500 + 55190041 = 25950^2 + 7429^2 .

It is a cyclic number.

It is not a de Polignac number, because 728592541 - 2¹⁵ = 728559773 is a prime.

It is equal to p_37655485 and since 728592541 and 37655485 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (728592581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364296270 + 364296271.

It is an arithmetic number, because the mean of its divisors is an integer number (364296271).

Almost surely, 2^728592541 is an apocalyptic number.

It is an amenable number.

728592541 is a deficient number, since it is larger than the sum of its proper divisors (1).

728592541 is an equidigital number, since it uses as much as digits as its factorization.

728592541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 201600, while the sum is 43.

The square root of 728592541 is about 26992.4534083140. The cubic root of 728592541 is about 899.8322901493.

The spelling of 728592541 in words is "seven hundred twenty-eight million, five hundred ninety-two thousand, five hundred forty-one".