288376 has 32 divisors (see below), whose sum is σ = 615600. Its totient is φ = 125440.

The previous prime is 288361. The next prime is 288383. The reversal of 288376 is 673882.

It is a happy number.

It is a d-powerful number, because it can be written as 2⁹ + 8³ + 3⁸ + 8³ + 7³ + 6⁷ .

It is a plaindrome in base 16.

It is a congruent number.

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, 2496 + ... + 2608.

288376 is a Friedman number, since it can be written as (3^8-7)*(8+6^2), using all its digits and the basic arithmetic operations.

2²⁸⁸³⁷⁶ 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 288376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307800).

288376 is an abundant number, since it is smaller than the sum of its proper divisors (327224).

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

288376 is a wasteful number, since it uses less digits than its factorization.

288376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 288376 is about 537.0065176513. The cubic root of 288376 is about 66.0672714766.

The spelling of 288376 in words is "two hundred eighty-eight thousand, three hundred seventy-six".