288995880 has 128 divisors (see below), whose sum is σ = 896313600. Its totient is φ = 74496000.

The previous prime is 288995879. The next prime is 288995881. The reversal of 288995880 is 88599882.

It is an interprime number because it is at equal distance from previous prime (288995879) and next prime (288995881).

It is a self number, because there is not a number n which added to its sum of digits gives 288995880.

It is not an unprimeable number, because it can be changed into a prime (288995881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742726 + ... + 743114.

It is an arithmetic number, because the mean of its divisors is an integer number (7002450).

Almost surely, 2^288995880 is an apocalyptic number.

288995880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288995880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

288995880 is an abundant number, since it is smaller than the sum of its proper divisors (607317720).

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

288995880 is a wasteful number, since it uses less digits than its factorization.

288995880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 57.

The square root of 288995880 is about 16999.8788230975. The cubic root of 288995880 is about 661.1457600391.

The spelling of 288995880 in words is "two hundred eighty-eight million, nine hundred ninety-five thousand, eight hundred eighty".