728236128000 has 288 divisors, whose sum is σ = 2496873480192. Its totient is φ = 187931136000.

The previous prime is 728236127963. The next prime is 728236128013. The reversal of 728236128000 is 821632827.

It is a self number, because there is not a number n which added to its sum of digits gives 728236128000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2853649 + ... + 3098351.

It is an arithmetic number, because the mean of its divisors is an integer number (8669699584).

Almost surely, 2^728236128000 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 728236128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248436740096).

728236128000 is an abundant number, since it is smaller than the sum of its proper divisors (1768637352192).

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

728236128000 is a wasteful number, since it uses less digits than its factorization.

728236128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244768 (or 244744 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 728236128000 in words is "seven hundred twenty-eight billion, two hundred thirty-six million, one hundred twenty-eight thousand".