288928838007857 has 2 divisors, whose sum is σ = 288928838007858. Its totient is φ = 288928838007856.

The previous prime is 288928838007851. The next prime is 288928838007913. The reversal of 288928838007857 is 758700838829882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183707690162161 + 105221147845696 = 13553881^2 + 10257736^2 .

It is a cyclic number.

It is not a de Polignac number, because 288928838007857 - 2⁴ = 288928838007841 is a prime.

It is not a weakly prime, because it can be changed into another prime (288928838007851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144464419003928 + 144464419003929.

It is an arithmetic number, because the mean of its divisors is an integer number (144464419003929).

Almost surely, 2^{288928838007857} is an apocalyptic number.

It is an amenable number.

288928838007857 is a deficient number, since it is larger than the sum of its proper divisors (1).

288928838007857 is an equidigital number, since it uses as much as digits as its factorization.

288928838007857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6936330240, while the sum is 83.

The spelling of 288928838007857 in words is "two hundred eighty-eight trillion, nine hundred twenty-eight billion, eight hundred thirty-eight million, seven thousand, eight hundred fifty-seven".