728772848277827 has 16 divisors (see below), whose sum is σ = 779758659870720. Its totient is φ = 679051523210400.

The previous prime is 728772848277823. The next prime is 728772848277937.

728772848277827 is nontrivially palindromic in base 10.

728772848277827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 728772848277827 - 2² = 728772848277823 is a prime.

It is a super-2 number, since 2×728772848277827² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (728772848277823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4636373 + ... + 38458310.

It is an arithmetic number, because the mean of its divisors is an integer number (48734916241920).

Almost surely, 2^{728772848277827} is an apocalyptic number.

728772848277827 is a deficient number, since it is larger than the sum of its proper divisors (50985811592893).

728772848277827 is a wasteful number, since it uses less digits than its factorization.

728772848277827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43109354.

The product of its digits is 30840979456, while the sum is 86.

The spelling of 728772848277827 in words is "seven hundred twenty-eight trillion, seven hundred seventy-two billion, eight hundred forty-eight million, two hundred seventy-seven thousand, eight hundred twenty-seven".