728272944000 has 768 divisors, whose sum is σ = 3099861273600. Its totient is φ = 166456166400.

The previous prime is 728272943969. The next prime is 728272944013. The reversal of 728272944000 is 449272827.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27202621 + ... + 27229379.

It is an arithmetic number, because the mean of its divisors is an integer number (4036277700).

Almost surely, 2^728272944000 is an apocalyptic number.

728272944000 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 728272944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549930636800).

728272944000 is an abundant number, since it is smaller than the sum of its proper divisors (2371588329600).

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

728272944000 is an equidigital number, since it uses as much as digits as its factorization.

728272944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26810 (or 26776 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 728272944000 in words is "seven hundred twenty-eight billion, two hundred seventy-two million, nine hundred forty-four thousand".