728929827 has 16 divisors (see below), whose sum is σ = 1090592160. Its totient is φ = 481140000.

The previous prime is 728929811. The next prime is 728929841.

728929827 is nontrivially palindromic in base 10.

728929827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 728929827 - 2⁴ = 728929811 is a prime.

It is a super-3 number, since 3×728929827³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (728929727) 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, 130924 + ... + 136377.

It is an arithmetic number, because the mean of its divisors is an integer number (68162010).

Almost surely, 2^728929827 is an apocalyptic number.

728929827 is a deficient number, since it is larger than the sum of its proper divisors (361662333).

728929827 is a wasteful number, since it uses less digits than its factorization.

728929827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267411 (or 267405 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 728929827 is about 26998.7004687263. The cubic root of 728929827 is about 899.9711212956.

The spelling of 728929827 in words is "seven hundred twenty-eight million, nine hundred twenty-nine thousand, eight hundred twenty-seven".