288100068 has 48 divisors (see below), whose sum is σ = 690197760. Its totient is φ = 93498784.

The previous prime is 288100051. The next prime is 288100069. The reversal of 288100068 is 860001882.

It is not an unprimeable number, because it can be changed into a prime (288100069) 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, 73855 + ... + 77657.

It is an arithmetic number, because the mean of its divisors is an integer number (14379120).

Almost surely, 2^288100068 is an apocalyptic number.

It is an amenable number.

288100068 is an abundant number, since it is smaller than the sum of its proper divisors (402097692).

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

288100068 is a wasteful number, since it uses less digits than its factorization.

288100068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 288100068 is about 16973.5107741445. The cubic root of 288100068 is about 660.4619263980.

The spelling of 288100068 in words is "two hundred eighty-eight million, one hundred thousand, sixty-eight".