1728148005 has 48 divisors (see below), whose sum is σ = 3191348160. Its totient is φ = 862078464.

The previous prime is 1728148001. The next prime is 1728148013. The reversal of 1728148005 is 5008418271.

1728148005 is a `hidden beast` number, since 172 + 8 + 1 + 480 + 0 + 5 = 666.

It is not a de Polignac number, because 1728148005 - 2² = 1728148001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728148001) 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 47 ways as a sum of consecutive naturals, for example, 117766 + ... + 131624.

It is an arithmetic number, because the mean of its divisors is an integer number (66486420).

Almost surely, 2^1728148005 is an apocalyptic number.

1728148005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1728148005 is a deficient number, since it is larger than the sum of its proper divisors (1463200155).

1728148005 is a wasteful number, since it uses less digits than its factorization.

1728148005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14047 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1728148005 is about 41570.9995670058. Note that the first 3 decimals coincide. The cubic root of 1728148005 is about 1200.0342594386.

Adding to 1728148005 its sum of digits (36), we get a square (1728148041 = 41571²).

The spelling of 1728148005 in words is "one billion, seven hundred twenty-eight million, one hundred forty-eight thousand, five".