728504393 has 2 divisors, whose sum is σ = 728504394. Its totient is φ = 728504392.

The previous prime is 728504353. The next prime is 728504407. The reversal of 728504393 is 393405827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 399880009 + 328624384 = 19997^2 + 18128^2 .

It is an emirp because it is prime and its reverse (393405827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 728504393 - 2¹⁴ = 728488009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 728504393.

It is not a weakly prime, because it can be changed into another prime (728504353) 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, 364252196 + 364252197.

It is an arithmetic number, because the mean of its divisors is an integer number (364252197).

Almost surely, 2^728504393 is an apocalyptic number.

It is an amenable number.

728504393 is a deficient number, since it is larger than the sum of its proper divisors (1).

728504393 is an equidigital number, since it uses as much as digits as its factorization.

728504393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 728504393 is about 26990.8205321735. The cubic root of 728504393 is about 899.7960002657.

The spelling of 728504393 in words is "seven hundred twenty-eight million, five hundred four thousand, three hundred ninety-three".