1728148041 has 45 divisors (see below), whose sum is σ = 2685539703. Its totient is φ = 1107451440.

The previous prime is 1728148031. The next prime is 1728148043. The reversal of 1728148041 is 1408418271.

The square root of 1728148041 is 41571.

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

1728148041 is a `hidden beast` number, since 172 + 8 + 1 + 480 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 202464441 + 1525683600 = 14229^2 + 39060^2 .

It is not a de Polignac number, because 1728148041 - 2¹⁹ = 1727623753 is a prime.

It is a super-2 number, since 2×1728148041² = 5972991303224275362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1728147987 and 1728148005.

It is not an unprimeable number, because it can be changed into a prime (1728148043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11598235 + ... + 11598383.

Almost surely, 2^1728148041 is an apocalyptic number.

1728148041 is the 41571-st square number.

1728148041 is the 20786-th centered octagonal number.

It is an amenable number.

1728148041 is a deficient number, since it is larger than the sum of its proper divisors (957391662).

1728148041 is an frugal number, since it uses more digits than its factorization.

1728148041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The cubic root of 1728148041 is about 1200.0342677714.

Multiplying 1728148041 by its sum of digits (36), we get a square (62213329476 = 249426²).

It can be divided in two parts, 1728 and 148041, that added together give a square (149769 = 387²).

The spelling of 1728148041 in words is "one billion, seven hundred twenty-eight million, one hundred forty-eight thousand, forty-one".