728338243584 has 224 divisors, whose sum is σ = 2271202813440. Its totient is φ = 203255119872.

The previous prime is 728338243553. The next prime is 728338243597. The reversal of 728338243584 is 485342833827.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×728338243584² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7348147 + ... + 7446605.

Almost surely, 2^728338243584 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 728338243584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135601406720).

728338243584 is an abundant number, since it is smaller than the sum of its proper divisors (1542864569856).

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

728338243584 is an equidigital number, since it uses as much as digits as its factorization.

728338243584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98538 (or 98514 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 57.

The spelling of 728338243584 in words is "seven hundred twenty-eight billion, three hundred thirty-eight million, two hundred forty-three thousand, five hundred eighty-four".