288982320 has 320 divisors, whose sum is σ = 1064503296. Its totient is φ = 64061440.

The previous prime is 288982319. The next prime is 288982339. The reversal of 288982320 is 23289882.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2109292 + ... + 2109428.

Almost surely, 2^288982320 is an apocalyptic number.

288982320 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 288982320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532251648).

288982320 is an abundant number, since it is smaller than the sum of its proper divisors (775520976).

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

288982320 is a wasteful number, since it uses less digits than its factorization.

288982320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 288982320 is about 16999.4799920468. The cubic root of 288982320 is about 661.1354193187.

The spelling of 288982320 in words is "two hundred eighty-eight million, nine hundred eighty-two thousand, three hundred twenty".