10728882760 has 32 divisors (see below), whose sum is σ = 25410513600. Its totient is φ = 4065681600.

The previous prime is 10728882667. The next prime is 10728882761. The reversal of 10728882760 is 6728882701.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10728882761) 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 7 ways as a sum of consecutive naturals, for example, 7057716 + ... + 7059235.

It is an arithmetic number, because the mean of its divisors is an integer number (794078550).

Almost surely, 2^10728882760 is an apocalyptic number.

10728882760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10728882760 is an abundant number, since it is smaller than the sum of its proper divisors (14681630840).

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

10728882760 is a wasteful number, since it uses less digits than its factorization.

10728882760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14116981 (or 14116977 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 49.

The spelling of 10728882760 in words is "ten billion, seven hundred twenty-eight million, eight hundred eighty-two thousand, seven hundred sixty".