728838010321 has 16 divisors (see below), whose sum is σ = 743081955840. Its totient is φ = 714726492480.

The previous prime is 728838010279. The next prime is 728838010357. The reversal of 728838010321 is 123010838827.

It is a cyclic number.

It is not a de Polignac number, because 728838010321 - 2¹¹ = 728838008273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728838010421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16825831 + ... + 16869091.

It is an arithmetic number, because the mean of its divisors is an integer number (46442622240).

Almost surely, 2^728838010321 is an apocalyptic number.

It is an amenable number.

728838010321 is a deficient number, since it is larger than the sum of its proper divisors (14243945519).

728838010321 is a wasteful number, since it uses less digits than its factorization.

728838010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44784.

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 728838010321 in words is "seven hundred twenty-eight billion, eight hundred thirty-eight million, ten thousand, three hundred twenty-one".