10728007670349 has 12 divisors (see below), whose sum is σ = 15497434309500. Its totient is φ = 7151348238144.

The previous prime is 10728007670321. The next prime is 10728007670351. The reversal of 10728007670349 is 94307670082701.

10728007670349 is a `hidden beast` number, since 10 + 7 + 280 + 0 + 7 + 6 + 7 + 0 + 349 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2260082269449 + 8467925400900 = 1503357^2 + 2909970^2 .

It is not a de Polignac number, because 10728007670349 - 2⁷ = 10728007670221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10728007670295 and 10728007670304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10728007670399) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54636174 + ... + 54832175.

It is an arithmetic number, because the mean of its divisors is an integer number (1291452859125).

Almost surely, 2^{10728007670349} is an apocalyptic number.

It is an amenable number.

10728007670349 is a deficient number, since it is larger than the sum of its proper divisors (4769426639151).

10728007670349 is a wasteful number, since it uses less digits than its factorization.

10728007670349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109479244 (or 109479241 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 10728007670349 in words is "ten trillion, seven hundred twenty-eight billion, seven million, six hundred seventy thousand, three hundred forty-nine".