288892320 has 144 divisors (see below), whose sum is σ = 934688160. Its totient is φ = 74982400.

The previous prime is 288892313. The next prime is 288892327. The reversal of 288892320 is 23298882.

It is an interprime number because it is at equal distance from previous prime (288892313) and next prime (288892327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288892327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2860270 + ... + 2860370.

It is an arithmetic number, because the mean of its divisors is an integer number (6490890).

Almost surely, 2^288892320 is an apocalyptic number.

288892320 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 288892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467344080).

288892320 is an abundant number, since it is smaller than the sum of its proper divisors (645795840).

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

288892320 is a wasteful number, since it uses less digits than its factorization.

288892320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 288892320 is about 16996.8326461138. The cubic root of 288892320 is about 661.0667780193.

The spelling of 288892320 in words is "two hundred eighty-eight million, eight hundred ninety-two thousand, three hundred twenty".