288750 has 80 divisors (see below), whose sum is σ = 899712. Its totient is φ = 60000.

The previous prime is 288733. The next prime is 288751. The reversal of 288750 is 57882.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 16.

It is a nialpdrome in base 5 and base 14.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288750.

It is not an unprimeable number, because it can be changed into a prime (288751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26245 + ... + 26255.

2²⁸⁸⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449856).

288750 is an abundant number, since it is smaller than the sum of its proper divisors (610962).

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

288750 is a wasteful number, since it uses less digits than its factorization.

288750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 288750 is about 537.3546315051. The cubic root of 288750 is about 66.0958204142.

It can be divided in two parts, 288 and 750, that multiplied together give a cube (216000 = 60³).

The spelling of 288750 in words is "two hundred eighty-eight thousand, seven hundred fifty".