288628839 has 48 divisors (see below), whose sum is σ = 462702240. Its totient is φ = 179159040.

The previous prime is 288628819. The next prime is 288628849. The reversal of 288628839 is 938826882.

288628839 is a `hidden beast` number, since 2 + 8 + 8 + 628 + 8 + 3 + 9 = 666.

It is not a de Polignac number, because 288628839 - 2²³ = 280240231 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288628819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449959 + ... + 450599.

It is an arithmetic number, because the mean of its divisors is an integer number (9639630).

Almost surely, 2^288628839 is an apocalyptic number.

288628839 is a deficient number, since it is larger than the sum of its proper divisors (174073401).

288628839 is a wasteful number, since it uses less digits than its factorization.

288628839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 770 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 288628839 is about 16989.0799927483. The cubic root of 288628839 is about 660.8657440434.

The spelling of 288628839 in words is "two hundred eighty-eight million, six hundred twenty-eight thousand, eight hundred thirty-nine".