728654767456827 has 64 divisors (see below), whose sum is σ = 1021556740377600. Its totient is φ = 461542055546880.

The previous prime is 728654767456769. The next prime is 728654767456849.

728654767456827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 728654767456827 - 2⁸ = 728654767456571 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 728654767456827.

It is not an unprimeable number, because it can be changed into a prime (728654767256827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1696450098 + ... + 1696879560.

It is an arithmetic number, because the mean of its divisors is an integer number (15961824068400).

Almost surely, 2^{728654767456827} is an apocalyptic number.

728654767456827 is a deficient number, since it is larger than the sum of its proper divisors (292901972920773).

728654767456827 is a wasteful number, since it uses less digits than its factorization.

728654767456827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431748.

The product of its digits is 53106278400, while the sum is 84.

The spelling of 728654767456827 in words is "seven hundred twenty-eight trillion, six hundred fifty-four billion, seven hundred sixty-seven million, four hundred fifty-six thousand, eight hundred twenty-seven".