242728191005 has 16 divisors (see below), whose sum is σ = 294608942640. Its totient is φ = 191960068608.

The previous prime is 242728190987. The next prime is 242728191019. The reversal of 242728191005 is 500191827242.

242728191005 = 348373² + 348374².

It can be written as a sum of positive squares in 8 ways, for example, as 8915325241 + 233812865764 = 94421^2 + 483542^2 .

It is a cyclic number.

It is not a de Polignac number, because 242728191005 - 2⁶ = 242728190941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2139899 + ... + 2250471.

It is an arithmetic number, because the mean of its divisors is an integer number (18413058915).

Almost surely, 2^242728191005 is an apocalyptic number.

242728191005 is the 348374-th centered square number.

It is an amenable number.

242728191005 is a deficient number, since it is larger than the sum of its proper divisors (51880751635).

242728191005 is a wasteful number, since it uses less digits than its factorization.

242728191005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115600.

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 242728191005 in words is "two hundred forty-two billion, seven hundred twenty-eight million, one hundred ninety-one thousand, five".