288987760 has 80 divisors (see below), whose sum is σ = 730774656. Its totient is φ = 105836544.

The previous prime is 288987757. The next prime is 288987763. The reversal of 288987760 is 67789882.

It is an interprime number because it is at equal distance from previous prime (288987757) and next prime (288987763).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288987763) 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 15 ways as a sum of consecutive naturals, for example, 47449 + ... + 53191.

Almost surely, 2^288987760 is an apocalyptic number.

288987760 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 288987760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365387328).

288987760 is an abundant number, since it is smaller than the sum of its proper divisors (441786896).

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

288987760 is a wasteful number, since it uses less digits than its factorization.

288987760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810 (or 5804 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 55.

The square root of 288987760 is about 16999.6399961882. The cubic root of 288987760 is about 661.1395678472.

The spelling of 288987760 in words is "two hundred eighty-eight million, nine hundred eighty-seven thousand, seven hundred sixty".