288991120 has 80 divisors (see below), whose sum is σ = 737149248. Its totient is φ = 104491520.

The previous prime is 288991111. The next prime is 288991133. The reversal of 288991120 is 21199882.

288991120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 172527 + ... + 174193.

Almost surely, 2^288991120 is an apocalyptic number.

288991120 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 288991120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368574624).

288991120 is an abundant number, since it is smaller than the sum of its proper divisors (448158128).

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

288991120 is a wasteful number, since it uses less digits than its factorization.

288991120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The square root of 288991120 is about 16999.7388215231. The cubic root of 288991120 is about 661.1421301475.

The spelling of 288991120 in words is "two hundred eighty-eight million, nine hundred ninety-one thousand, one hundred twenty".