728591987776 has 63 divisors (see below), whose sum is σ = 1511719535991. Its totient is φ = 348381922944.

The previous prime is 728591987771. The next prime is 728591987797. The reversal of 728591987776 is 677789195827.

The square root of 728591987776 is 853576.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728591987771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 157055665 + ... + 157060303.

Almost surely, 2^728591987776 is an apocalyptic number.

728591987776 is the 853576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728591987776

728591987776 is an abundant number, since it is smaller than the sum of its proper divisors (783127548215).

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

728591987776 is an frugal number, since it uses more digits than its factorization.

728591987776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 4664 counting only the distinct ones).

The product of its digits is 746807040, while the sum is 76.

The spelling of 728591987776 in words is "seven hundred twenty-eight billion, five hundred ninety-one million, nine hundred eighty-seven thousand, seven hundred seventy-six".