288331488 has 120 divisors (see below), whose sum is σ = 854202888. Its totient is φ = 95406336.

The previous prime is 288331457. The next prime is 288331513. The reversal of 288331488 is 884133882.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 448095 + ... + 448737.

Almost surely, 2^288331488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288331488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427101444).

288331488 is an abundant number, since it is smaller than the sum of its proper divisors (565871400).

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

288331488 is a wasteful number, since it uses less digits than its factorization.

288331488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 821 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 288331488 is about 16980.3264986278. The cubic root of 288331488 is about 660.6387205165.

It can be divided in two parts, 288 and 331488, that added together give a 4-th power (331776 = 24⁴).

The spelling of 288331488 in words is "two hundred eighty-eight million, three hundred thirty-one thousand, four hundred eighty-eight".