728096419008 has 252 divisors, whose sum is σ = 2432174335032. Its totient is φ = 207642839040.

The previous prime is 728096419007. The next prime is 728096419027. The reversal of 728096419008 is 800914690827.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (728096419007) 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 35 ways as a sum of consecutive naturals, for example, 15414948 + ... + 15462108.

Almost surely, 2^728096419008 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 728096419008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216087167516).

728096419008 is an abundant number, since it is smaller than the sum of its proper divisors (1704077916024).

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

728096419008 is a wasteful number, since it uses less digits than its factorization.

728096419008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47740 (or 47720 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 728096419008 in words is "seven hundred twenty-eight billion, ninety-six million, four hundred nineteen thousand, eight".