288742242888 has 540 divisors, whose sum is σ = 947582312985. Its totient is φ = 82071792000.

The previous prime is 288742242881. The next prime is 288742242937. The reversal of 288742242888 is 888242247882.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

288742242888 is a `hidden beast` number, since 288 + 74 + 2 + 2 + 4 + 288 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200415591684 + 88326651204 = 447678^2 + 297198^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=379962.

It is not an unprimeable number, because it can be changed into a prime (288742242881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2858834038 + ... + 2858834138.

Almost surely, 2^288742242888 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 288742242888

288742242888 is an abundant number, since it is smaller than the sum of its proper divisors (658840070097).

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

288742242888 is a wasteful number, since it uses less digits than its factorization.

288742242888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 136 counting only the distinct ones).

The product of its digits is 58720256, while the sum is 63.

The spelling of 288742242888 in words is "two hundred eighty-eight billion, seven hundred forty-two million, two hundred forty-two thousand, eight hundred eighty-eight".