288987264 has 224 divisors, whose sum is σ = 914185200. Its totient is φ = 90699264.

The previous prime is 288987247. The next prime is 288987277. The reversal of 288987264 is 462789882.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 288987264.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1772847 + ... + 1773009.

Almost surely, 2^288987264 is an apocalyptic number.

288987264 is a gapful number since it is divisible by the number (24) 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 288987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457092600).

288987264 is an abundant number, since it is smaller than the sum of its proper divisors (625197936).

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

288987264 is an equidigital number, since it uses as much as digits as its factorization.

288987264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 187 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 288987264 is about 16999.6254076377. The cubic root of 288987264 is about 661.1391896011.

The spelling of 288987264 in words is "two hundred eighty-eight million, nine hundred eighty-seven thousand, two hundred sixty-four".