728469505964827 has 16 divisors (see below), whose sum is σ = 812286132844032. Its totient is φ = 647608641226720.

The previous prime is 728469505964821. The next prime is 728469505964831.

728469505964827 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 728469505964827 - 2³ = 728469505964819 is a prime.

It is a super-2 number, since 2×728469505964827² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (728469505964821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592912828 + ... + 594140185.

It is an arithmetic number, because the mean of its divisors is an integer number (50767883302752).

Almost surely, 2^{728469505964827} is an apocalyptic number.

728469505964827 is a deficient number, since it is larger than the sum of its proper divisors (83816626879205).

728469505964827 is a wasteful number, since it uses less digits than its factorization.

728469505964827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187054258.

The product of its (nonzero) digits is 14631321600, while the sum is 82.

The spelling of 728469505964827 in words is "seven hundred twenty-eight trillion, four hundred sixty-nine billion, five hundred five million, nine hundred sixty-four thousand, eight hundred twenty-seven".