10928272729293 has 24 divisors (see below), whose sum is σ = 16130842980408. Its totient is φ = 7126841659392.

The previous prime is 10928272729291. The next prime is 10928272729301. The reversal of 10928272729293 is 39292727282901.

10928272729293 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 8 + 272 + 72 + 9 + 293 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4625652437289 + 6302620292004 = 2150733^2 + 2510502^2 .

It is not a de Polignac number, because 10928272729293 - 2¹ = 10928272729291 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10928272729293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10928272729291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33830980 + ... + 34152477.

It is an arithmetic number, because the mean of its divisors is an integer number (672118457517).

Almost surely, 2^{10928272729293} is an apocalyptic number.

It is an amenable number.

10928272729293 is a deficient number, since it is larger than the sum of its proper divisors (5202570251115).

10928272729293 is a wasteful number, since it uses less digits than its factorization.

10928272729293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67983853 (or 67983850 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 10928272729293 in words is "ten trillion, nine hundred twenty-eight billion, two hundred seventy-two million, seven hundred twenty-nine thousand, two hundred ninety-three".