288779085 has 48 divisors (see below), whose sum is σ = 605719296. Its totient is φ = 124245504.

The previous prime is 288779069. The next prime is 288779087. The reversal of 288779085 is 580977882.

It is not a de Polignac number, because 288779085 - 2⁴ = 288779069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288779087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21609 + ... + 32318.

It is an arithmetic number, because the mean of its divisors is an integer number (12619152).

Almost surely, 2^288779085 is an apocalyptic number.

It is an amenable number.

288779085 is an abundant number, since it is smaller than the sum of its proper divisors (316940211).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288779085 is a wasteful number, since it uses less digits than its factorization.

288779085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53962 (or 53959 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 288779085 is about 16993.5012578338. The cubic root of 288779085 is about 660.9803955695.

The spelling of 288779085 in words is "two hundred eighty-eight million, seven hundred seventy-nine thousand, eighty-five".