10728663348 has 192 divisors, whose sum is σ = 30270240000.
Its totient is φ = 2921619456.
The previous prime is 10728663311. The next prime is 10728663349. The reversal of 10728663348 is 84336682701.
It is a junction number, because it is equal to n+sod(n) for n = 10728663297 and 10728663306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10728663349) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7507098 + ... + 7508526.
It is an arithmetic number, because the mean of its divisors is an integer number (157657500).
Almost surely, 210728663348 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 10728663348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120000).
10728663348 is an abundant number, since it is smaller than the sum of its proper divisors (19541576652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10728663348 is a wasteful number, since it uses less digits than its factorization.
10728663348 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1634 (or 1632 counting only the distinct ones).
The product of its (nonzero) digits is 1161216, while the sum is 48.
The spelling of 10728663348 in words is "ten billion, seven hundred twenty-eight million, six hundred sixty-three thousand, three hundred forty-eight".