728466664827 has 32 divisors (see below), whose sum is σ = 1082722443264. Its totient is φ = 431865792800.

The previous prime is 728466664819. The next prime is 728466664837.

728466664827 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 728466664827 - 2³ = 728466664819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (728466664837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2737552 + ... + 2991842.

It is an arithmetic number, because the mean of its divisors is an integer number (33835076352).

Almost surely, 2^728466664827 is an apocalyptic number.

728466664827 is a deficient number, since it is larger than the sum of its proper divisors (354255778437).

728466664827 is a wasteful number, since it uses less digits than its factorization.

728466664827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256199.

The product of its digits is 260112384, while the sum is 66.

The spelling of 728466664827 in words is "seven hundred twenty-eight billion, four hundred sixty-six million, six hundred sixty-four thousand, eight hundred twenty-seven".