728084406641 has 16 divisors (see below), whose sum is σ = 767442124800. Its totient is φ = 689374258320.

The previous prime is 728084406593. The next prime is 728084406659. The reversal of 728084406641 is 146604480827.

It is a happy number.

It is not a de Polignac number, because 728084406641 - 2¹⁰ = 728084405617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 728084406641.

It is not an unprimeable number, because it can be changed into a prime (728084406941) 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, 5619176 + ... + 5747286.

It is an arithmetic number, because the mean of its divisors is an integer number (47965132800).

Almost surely, 2^728084406641 is an apocalyptic number.

It is an amenable number.

728084406641 is a deficient number, since it is larger than the sum of its proper divisors (39357718159).

728084406641 is a wasteful number, since it uses less digits than its factorization.

728084406641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130636.

The product of its (nonzero) digits is 2064384, while the sum is 50.

The spelling of 728084406641 in words is "seven hundred twenty-eight billion, eighty-four million, four hundred six thousand, six hundred forty-one".