10728704573440 has 704 divisors, whose sum is σ = 31809593952000. Its totient is φ = 3462616055808.

The previous prime is 10728704573413. The next prime is 10728704573551. The reversal of 10728704573440 is 4437540782701.

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, 68335697842 + ... + 68335697998.

Almost surely, 2^{10728704573440} is an apocalyptic number.

10728704573440 is a gapful number since it is divisible by the number (10) 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 10728704573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15904796976000).

10728704573440 is an abundant number, since it is smaller than the sum of its proper divisors (21080889378560).

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

10728704573440 is an frugal number, since it uses more digits than its factorization.

10728704573440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 52.

The spelling of 10728704573440 in words is "ten trillion, seven hundred twenty-eight billion, seven hundred four million, five hundred seventy-three thousand, four hundred forty".