728360755200 has 1008 divisors, whose sum is σ = 2845084231080. Its totient is φ = 177041571840.

The previous prime is 728360755181. The next prime is 728360755207. The reversal of 728360755200 is 2557063827.

728360755200 is a `hidden beast` number, since 7 + 28 + 36 + 0 + 75 + 520 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 188453228544 + 539907526656 = 434112^2 + 734784^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (728360755207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2707660666 + ... + 2707660934.

Almost surely, 2^728360755200 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 728360755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422542115540).

728360755200 is an abundant number, since it is smaller than the sum of its proper divisors (2116723475880).

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

728360755200 is a wasteful number, since it uses less digits than its factorization.

728360755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 728360755200 in words is "seven hundred twenty-eight billion, three hundred sixty million, seven hundred fifty-five thousand, two hundred".