288289680 has 160 divisors (see below), whose sum is σ = 1028815104. Its totient is φ = 65415168.

The previous prime is 288289657. The next prime is 288289699. The reversal of 288289680 is 86982882.

It is a super-2 number, since 2×288289680² = 166221879189004800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263214 + ... + 264306.

Almost surely, 2^288289680 is an apocalyptic number.

288289680 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 288289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514407552).

288289680 is an abundant number, since it is smaller than the sum of its proper divisors (740525424).

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

288289680 is a wasteful number, since it uses less digits than its factorization.

288289680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 288289680 is about 16979.0953822634. The cubic root of 288289680 is about 660.6067881517.

The spelling of 288289680 in words is "two hundred eighty-eight million, two hundred eighty-nine thousand, six hundred eighty".