728591283840 has 1024 divisors, whose sum is σ = 2841503662080. Its totient is φ = 155271168000.

The previous prime is 728591283799. The next prime is 728591283941. The reversal of 728591283840 is 48382195827.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2327767524 + ... + 2327767836.

It is an arithmetic number, because the mean of its divisors is an integer number (2774905920).

Almost surely, 2^728591283840 is an apocalyptic number.

728591283840 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 728591283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420751831040).

728591283840 is an abundant number, since it is smaller than the sum of its proper divisors (2112912378240).

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

728591283840 is a wasteful number, since it uses less digits than its factorization.

728591283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 728591283840 in words is "seven hundred twenty-eight billion, five hundred ninety-one million, two hundred eighty-three thousand, eight hundred forty".