728829928827 has 192 divisors, whose sum is σ = 1430516505600. Its totient is φ = 345299189760.

The previous prime is 728829928811. The next prime is 728829928831.

728829928827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 728829928827 - 2⁴ = 728829928811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (728829923827) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 385827499 + ... + 385829387.

It is an arithmetic number, because the mean of its divisors is an integer number (7450606800).

Almost surely, 2^728829928827 is an apocalyptic number.

728829928827 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

728829928827 is a deficient number, since it is larger than the sum of its proper divisors (701686576773).

728829928827 is a wasteful number, since it uses less digits than its factorization.

728829928827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2415 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 728829928827 in words is "seven hundred twenty-eight billion, eight hundred twenty-nine million, nine hundred twenty-eight thousand, eight hundred twenty-seven".