288648675 has 72 divisors (see below), whose sum is σ = 595795200. Its totient is φ = 130852800.

The previous prime is 288648673. The next prime is 288648683. The reversal of 288648675 is 576846882.

It is not a de Polignac number, because 288648675 - 2¹ = 288648673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288648671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 205626 + ... + 207024.

Almost surely, 2^288648675 is an apocalyptic number.

288648675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

288648675 is an abundant number, since it is smaller than the sum of its proper divisors (307146525).

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

288648675 is a wasteful number, since it uses less digits than its factorization.

288648675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1545 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 288648675 is about 16989.6637694805. The cubic root of 288648675 is about 660.8808830164.

The spelling of 288648675 in words is "two hundred eighty-eight million, six hundred forty-eight thousand, six hundred seventy-five".