728895024000 has 3584 divisors, whose sum is σ = 3506190105600. Its totient is φ = 147806208000.

The previous prime is 728895023993. The next prime is 728895024001. The reversal of 728895024000 is 420598827.

728895024000 is a `hidden beast` number, since 7 + 28 + 89 + 502 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728895024001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 31691087989 + ... + 31691088011.

It is an arithmetic number, because the mean of its divisors is an integer number (978289650).

Almost surely, 2^728895024000 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 728895024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753095052800).

728895024000 is an abundant number, since it is smaller than the sum of its proper divisors (2777295081600).

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

728895024000 is a wasteful number, since it uses less digits than its factorization.

728895024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 728895024000 in words is "seven hundred twenty-eight billion, eight hundred ninety-five million, twenty-four thousand".