728606338505 has 32 divisors (see below), whose sum is σ = 912949380000. Its totient is φ = 557739878400.

The previous prime is 728606338501. The next prime is 728606338549. The reversal of 728606338505 is 505833606827.

It can be written as a sum of positive squares in 16 ways, for example, as 444274238521 + 284332099984 = 666539^2 + 533228^2 .

It is not a de Polignac number, because 728606338505 - 2² = 728606338501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (728606338501) 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 31 ways as a sum of consecutive naturals, for example, 4280771 + ... + 4447719.

It is an arithmetic number, because the mean of its divisors is an integer number (28529668125).

Almost surely, 2^728606338505 is an apocalyptic number.

It is an amenable number.

728606338505 is a deficient number, since it is larger than the sum of its proper divisors (184343041495).

728606338505 is a wasteful number, since it uses less digits than its factorization.

728606338505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167405.

The product of its (nonzero) digits is 7257600, while the sum is 53.

The spelling of 728606338505 in words is "seven hundred twenty-eight billion, six hundred six million, three hundred thirty-eight thousand, five hundred five".