728080080000 has 2560 divisors, whose sum is σ = 3295483107840. Its totient is φ = 138018816000.

The previous prime is 728080079977. The next prime is 728080080011. The reversal of 728080080000 is 80080827.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13737359974 + ... + 13737360026.

It is an arithmetic number, because the mean of its divisors is an integer number (1287298089).

Almost surely, 2^728080080000 is an apocalyptic number.

728080080000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728080080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647741553920).

728080080000 is an abundant number, since it is smaller than the sum of its proper divisors (2567403027840).

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

728080080000 is a wasteful number, since it uses less digits than its factorization.

728080080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 728080080000 in words is "seven hundred twenty-eight billion, eighty million, eighty thousand".