288900073 has 32 divisors (see below), whose sum is σ = 381588480. Its totient is φ = 211896000.

The previous prime is 288900071. The next prime is 288900083. The reversal of 288900073 is 370009882.

It is a cyclic number.

It is not a de Polignac number, because 288900073 - 2¹ = 288900071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288900071) 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 31 ways as a sum of consecutive naturals, for example, 264258 + ... + 265348.

It is an arithmetic number, because the mean of its divisors is an integer number (11924640).

Almost surely, 2^288900073 is an apocalyptic number.

It is an amenable number.

288900073 is a deficient number, since it is larger than the sum of its proper divisors (92688407).

288900073 is a wasteful number, since it uses less digits than its factorization.

288900073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 288900073 is about 16997.0607164886. The cubic root of 288900073 is about 661.0726916470.

The spelling of 288900073 in words is "two hundred eighty-eight million, nine hundred thousand, seventy-three".