728919386208000 has 3456 divisors, whose sum is σ = 2991328875085824. Its totient is φ = 175659466752000.

The previous prime is 728919386207869. The next prime is 728919386208049. The reversal of 728919386208000 is 802683919827.

728919386208000 is a `hidden beast` number, since 72 + 8 + 91 + 9 + 386 + 20 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1903183775809 + ... + 1903183776191.

It is an arithmetic number, because the mean of its divisors is an integer number (865546549504).

Almost surely, 2^{728919386208000} 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 728919386208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495664437542912).

728919386208000 is an abundant number, since it is smaller than the sum of its proper divisors (2262409488877824).

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

728919386208000 is a wasteful number, since it uses less digits than its factorization.

728919386208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 728919386208000 in words is "seven hundred twenty-eight trillion, nine hundred nineteen billion, three hundred eighty-six million, two hundred eight thousand".