728585122776 has 128 divisors (see below), whose sum is σ = 2153531535360. Its totient is φ = 201010636800.

The previous prime is 728585122723. The next prime is 728585122813. The reversal of 728585122776 is 677221585827.

728585122776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×728585122776² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2226996 + ... + 2533116.

It is an arithmetic number, because the mean of its divisors is an integer number (16824465120).

Almost surely, 2^728585122776 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 728585122776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076765767680).

728585122776 is an abundant number, since it is smaller than the sum of its proper divisors (1424946412584).

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

728585122776 is a wasteful number, since it uses less digits than its factorization.

728585122776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306625 (or 306621 counting only the distinct ones).

The product of its digits is 26342400, while the sum is 60.

The spelling of 728585122776 in words is "seven hundred twenty-eight billion, five hundred eighty-five million, one hundred twenty-two thousand, seven hundred seventy-six".