288816140 has 24 divisors (see below), whose sum is σ = 606988032. Its totient is φ = 115436160.

The previous prime is 288816109. The next prime is 288816211. The reversal of 288816140 is 41618882.

It is a junction number, because it is equal to n+sod(n) for n = 288816094 and 288816103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24512 + ... + 34328.

It is an arithmetic number, because the mean of its divisors is an integer number (25291168).

Almost surely, 2^288816140 is an apocalyptic number.

288816140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288816140 is an abundant number, since it is smaller than the sum of its proper divisors (318171892).

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

288816140 is a wasteful number, since it uses less digits than its factorization.

288816140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11297 (or 11295 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 288816140 is about 16994.5914925896. The cubic root of 288816140 is about 661.0086658313.

The spelling of 288816140 in words is "two hundred eighty-eight million, eight hundred sixteen thousand, one hundred forty".