728791601 has 2 divisors, whose sum is σ = 728791602. Its totient is φ = 728791600.

The previous prime is 728791597. The next prime is 728791643. The reversal of 728791601 is 106197827.

728791601 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., 642673201 + 86118400 = 25351^2 + 9280^2 .

It is a cyclic number.

It is not a de Polignac number, because 728791601 - 2² = 728791597 is a prime.

It is a super-2 number, since 2×728791601² = 1062274395376286402, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (728791201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364395800 + 364395801.

It is an arithmetic number, because the mean of its divisors is an integer number (364395801).

Almost surely, 2^728791601 is an apocalyptic number.

It is an amenable number.

728791601 is a deficient number, since it is larger than the sum of its proper divisors (1).

728791601 is an equidigital number, since it uses as much as digits as its factorization.

728791601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 41.

The square root of 728791601 is about 26996.1404834098. The cubic root of 728791601 is about 899.9142309212.

The spelling of 728791601 in words is "seven hundred twenty-eight million, seven hundred ninety-one thousand, six hundred one".