728081055561600 has 2304 divisors, whose sum is σ = 2958093902016000. Its totient is φ = 174715258798080.

The previous prime is 728081055561589. The next prime is 728081055561737. The reversal of 728081055561600 is 6165550180827.

728081055561600 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 8 + 10 + 5 + 5 + 5 + 616 + 0 + 0 = 666.

728081055561600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 516736021696 + ... + 516736023104.

It is an arithmetic number, because the mean of its divisors is an integer number (1283894922750).

Almost surely, 2^{728081055561600} 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 728081055561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479046951008000).

728081055561600 is an abundant number, since it is smaller than the sum of its proper divisors (2230012846454400).

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

728081055561600 is a wasteful number, since it uses less digits than its factorization.

728081055561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 728081055561600 in words is "seven hundred twenty-eight trillion, eighty-one billion, fifty-five million, five hundred sixty-one thousand, six hundred".