288292730880 has 1152 divisors, whose sum is σ = 1222930275840. Its totient is φ = 57224724480.

The previous prime is 288292730771. The next prime is 288292730969. The reversal of 288292730880 is 88037292882.

It is a super-2 number, since 2×288292730880² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 288292730880.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 380835462 + ... + 380836218.

It is an arithmetic number, because the mean of its divisors is an integer number (1061571420).

Almost surely, 2^288292730880 is an apocalyptic number.

288292730880 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 288292730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611465137920).

288292730880 is an abundant number, since it is smaller than the sum of its proper divisors (934637544960).

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

288292730880 is a wasteful number, since it uses less digits than its factorization.

288292730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 288292730880 in words is "two hundred eighty-eight billion, two hundred ninety-two million, seven hundred thirty thousand, eight hundred eighty".