728136856356 has 216 divisors, whose sum is σ = 2169380211264. Its totient is φ = 188407215360.

The previous prime is 728136856339. The next prime is 728136856357. The reversal of 728136856356 is 653658631827.

It is a self number, because there is not a number n which added to its sum of digits gives 728136856356.

It is not an unprimeable number, because it can be changed into a prime (728136856357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21455041 + ... + 21488951.

It is an arithmetic number, because the mean of its divisors is an integer number (10043426904).

Almost surely, 2^728136856356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728136856356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084690105632).

728136856356 is an abundant number, since it is smaller than the sum of its proper divisors (1441243354908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

728136856356 is a wasteful number, since it uses less digits than its factorization.

728136856356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34051 (or 33989 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 60.

The spelling of 728136856356 in words is "seven hundred twenty-eight billion, one hundred thirty-six million, eight hundred fifty-six thousand, three hundred fifty-six".