1728456097 has 8 divisors (see below), whose sum is σ = 1737007272. Its totient is φ = 1719916800.

The previous prime is 1728456077. The next prime is 1728456137. The reversal of 1728456097 is 7906548271.

It can be written as a sum of positive squares in 4 ways, for example, as 921668881 + 806787216 = 30359^2 + 28404^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1728456097 - 2⁷ = 1728455969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1728456097.

It is not an unprimeable number, because it can be changed into a prime (1728456077) 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 7 ways as a sum of consecutive naturals, for example, 450447 + ... + 454267.

It is an arithmetic number, because the mean of its divisors is an integer number (217125909).

Almost surely, 2^1728456097 is an apocalyptic number.

It is an amenable number.

1728456097 is a deficient number, since it is larger than the sum of its proper divisors (8551175).

1728456097 is a wasteful number, since it uses less digits than its factorization.

1728456097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939.

The product of its (nonzero) digits is 846720, while the sum is 49.

The square root of 1728456097 is about 41574.7050139866. The cubic root of 1728456097 is about 1200.1055687217.

The spelling of 1728456097 in words is "one billion, seven hundred twenty-eight million, four hundred fifty-six thousand, ninety-seven".