1728622782441 has 27 divisors (see below), whose sum is σ = 2545207581189. Its totient is φ = 1130534769312.

The previous prime is 1728622782361. The next prime is 1728622782473. The reversal of 1728622782441 is 1442872268271.

The square root of 1728622782441 is 1314771.

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

1728622782441 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 622 + 7 + 8 + 2 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 764094515625 + 964528266816 = 874125^2 + 982104^2 .

It is not a de Polignac number, because 1728622782441 - 2¹⁷ = 1728622651369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1728622782841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 209044455 + ... + 209052723.

Almost surely, 2^{1728622782441} is an apocalyptic number.

1728622782441 is the 1314771-st square number.

1728622782441 is the 657386-th centered octagonal number.

It is an amenable number.

1728622782441 is a deficient number, since it is larger than the sum of its proper divisors (816584798748).

1728622782441 is an frugal number, since it uses more digits than its factorization.

1728622782441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16650 (or 8325 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 1728622782441 in words is "one trillion, seven hundred twenty-eight billion, six hundred twenty-two million, seven hundred eighty-two thousand, four hundred forty-one".