728957041 has 2 divisors, whose sum is σ = 728957042. Its totient is φ = 728957040.

The previous prime is 728957003. The next prime is 728957057. The reversal of 728957041 is 140759827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 607869025 + 121088016 = 24655^2 + 11004^2 .

It is a cyclic number.

It is not a de Polignac number, because 728957041 - 2¹⁷ = 728825969 is a prime.

It is equal to p_37673269 and since 728957041 and 37673269 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 (728957441) 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, 364478520 + 364478521.

It is an arithmetic number, because the mean of its divisors is an integer number (364478521).

Almost surely, 2^728957041 is an apocalyptic number.

It is an amenable number.

728957041 is a deficient number, since it is larger than the sum of its proper divisors (1).

728957041 is an equidigital number, since it uses as much as digits as its factorization.

728957041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 43.

The square root of 728957041 is about 26999.2044512426. The cubic root of 728957041 is about 899.9823210519.

The spelling of 728957041 in words is "seven hundred twenty-eight million, nine hundred fifty-seven thousand, forty-one".