288100 has 36 divisors (see below), whose sum is σ = 649264. Its totient is φ = 110880.

The previous prime is 288089. The next prime is 288109. The reversal of 288100 is 1882.

288100 = T₃₅ + T₃₆ + ... + T₁₂₀.

It is a happy number.

288100 is nontrivially palindromic in base 16.

It is a super-2 number, since 2×288100² = 166003220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (288109) by changing a digit.

288100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4267 + ... + 4333.

2²⁸⁸¹⁰⁰ is an apocalyptic number.

288100 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 288100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324632).

288100 is an abundant number, since it is smaller than the sum of its proper divisors (361164).

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

288100 is a wasteful number, since it uses less digits than its factorization.

288100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 288100 is about 536.7494760128. The cubic root of 288100 is about 66.0461874435.

Adding to 288100 its reverse (1882), we get a palindrome (289982).

It can be divided in two parts, 28 and 8100, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 288100 in words is "two hundred eighty-eight thousand, one hundred".