288831816 has 144 divisors (see below), whose sum is σ = 968348160. Its totient is φ = 76152960.

The previous prime is 288831761. The next prime is 288831833. The reversal of 288831816 is 618138882.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 83481 + ... + 86871.

It is an arithmetic number, because the mean of its divisors is an integer number (6724640).

Almost surely, 2^288831816 is an apocalyptic number.

288831816 is a gapful number since it is divisible by the number (26) 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 288831816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484174080).

288831816 is an abundant number, since it is smaller than the sum of its proper divisors (679516344).

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

288831816 is a wasteful number, since it uses less digits than its factorization.

288831816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3416 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 288831816 is about 16995.0526918865. The cubic root of 288831816 is about 661.0206247479.

The spelling of 288831816 in words is "two hundred eighty-eight million, eight hundred thirty-one thousand, eight hundred sixteen".