17628138441 has 9 divisors (see below), whose sum is σ = 25463441991. Its totient is φ = 11751826752.

The previous prime is 17628138431. The next prime is 17628138443. The reversal of 17628138441 is 14483182671.

The square root of 17628138441 is 132771.

It is a perfect power (a square), and thus also a powerful number.

17628138441 is a `hidden beast` number, since 1 + 7 + 628 + 13 + 8 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16722369225 + 905769216 = 129315^2 + 30096^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 17628138441 - 2⁹ = 17628137929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (17628138443) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 376185 + ... + 420441.

Almost surely, 2^17628138441 is an apocalyptic number.

17628138441 is the 132771-st square number.

17628138441 is the 66386-th centered octagonal number.

It is an amenable number.

17628138441 is a deficient number, since it is larger than the sum of its proper divisors (7835303550).

17628138441 is an frugal number, since it uses more digits than its factorization.

17628138441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88520 (or 44260 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 17628138441 in words is "seventeen billion, six hundred twenty-eight million, one hundred thirty-eight thousand, four hundred forty-one".