288628873 has 16 divisors (see below), whose sum is σ = 329945616. Its totient is φ = 250122240.

The previous prime is 288628871. The next prime is 288628903. The reversal of 288628873 is 378826882.

It can be written as a sum of positive squares in 8 ways, for example, as 10673289 + 277955584 = 3267^2 + 16672^2 .

It is a cyclic number.

It is not a de Polignac number, because 288628873 - 2¹ = 288628871 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 288628873.

It is not an unprimeable number, because it can be changed into a prime (288628871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100465 + ... + 103297.

It is an arithmetic number, because the mean of its divisors is an integer number (20621601).

Almost surely, 2^288628873 is an apocalyptic number.

It is an amenable number.

288628873 is a deficient number, since it is larger than the sum of its proper divisors (41316743).

288628873 is a wasteful number, since it uses less digits than its factorization.

288628873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324.

The product of its digits is 2064384, while the sum is 52.

The square root of 288628873 is about 16989.0809933910. The cubic root of 288628873 is about 660.8657699930.

The spelling of 288628873 in words is "two hundred eighty-eight million, six hundred twenty-eight thousand, eight hundred seventy-three".