728040560457600 has 3456 divisors, whose sum is σ = 3048513774059520. Its totient is φ = 164877277593600.

The previous prime is 728040560457547. The next prime is 728040560457619. The reversal of 728040560457600 is 6754065040827.

It is a happy number.

728040560457600 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 4 + 0 + 5 + 60 + 4 + 576 + 0 + 0 = 666.

728040560457600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 669770524257 + ... + 669770525343.

It is an arithmetic number, because the mean of its divisors is an integer number (882093105920).

Almost surely, 2^{728040560457600} 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 728040560457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524256887029760).

728040560457600 is an abundant number, since it is smaller than the sum of its proper divisors (2320473213601920).

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

728040560457600 is a wasteful number, since it uses less digits than its factorization.

728040560457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 728040560457600 in words is "seven hundred twenty-eight trillion, forty billion, five hundred sixty million, four hundred fifty-seven thousand, six hundred".