10805266728 has 64 divisors (see below), whose sum is σ = 30034540800. Its totient is φ = 3599366400.

The previous prime is 10805266727. The next prime is 10805266729. The reversal of 10805266728 is 82766250801.

It is an interprime number because it is at equal distance from previous prime (10805266727) and next prime (10805266729).

It is not an unprimeable number, because it can be changed into a prime (10805266723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326128 + ... + 357728.

It is an arithmetic number, because the mean of its divisors is an integer number (469289700).

Almost surely, 2^10805266728 is an apocalyptic number.

10805266728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10805266728 is an abundant number, since it is smaller than the sum of its proper divisors (19229274072).

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

10805266728 is a wasteful number, since it uses less digits than its factorization.

10805266728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33199 (or 33189 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10805266728 in words is "ten billion, eight hundred five million, two hundred sixty-six thousand, seven hundred twenty-eight".