288688068 has 54 divisors (see below), whose sum is σ = 747276894. Its totient is φ = 93969792.

The previous prime is 288688039. The next prime is 288688073. The reversal of 288688068 is 860886882.

It can be written as a sum of positive squares in only one way, i.e., 159820164 + 128867904 = 12642^2 + 11352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64396 + ... + 68732.

It is an arithmetic number, because the mean of its divisors is an integer number (13838461).

Almost surely, 2^288688068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288688068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373638447).

288688068 is an abundant number, since it is smaller than the sum of its proper divisors (458588826).

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

288688068 is a wasteful number, since it uses less digits than its factorization.

288688068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The square root of 288688068 is about 16990.8230524598. The cubic root of 288688068 is about 660.9109459714.

The spelling of 288688068 in words is "two hundred eighty-eight million, six hundred eighty-eight thousand, sixty-eight".