728769601 has 12 divisors (see below), whose sum is σ = 848192148. Its totient is φ = 624335712.

The previous prime is 728769589. The next prime is 728769667. The reversal of 728769601 is 106967827.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 244109376 + 484660225 = 15624^2 + 22015^2 .

It is not a de Polignac number, because 728769601 - 2⁹ = 728769089 is a prime.

It is a super-2 number, since 2×728769601² = 1062210262683398402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728769401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184095 + ... + 188011.

It is an arithmetic number, because the mean of its divisors is an integer number (70682679).

Almost surely, 2^728769601 is an apocalyptic number.

It is an amenable number.

728769601 is a deficient number, since it is larger than the sum of its proper divisors (119422547).

728769601 is a wasteful number, since it uses less digits than its factorization.

728769601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7721 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 728769601 is about 26995.7330146822. The cubic root of 728769601 is about 899.9051756063.

The spelling of 728769601 in words is "seven hundred twenty-eight million, seven hundred sixty-nine thousand, six hundred one".