288128 has 16 divisors (see below), whose sum is σ = 574260. Its totient is φ = 144000.

The previous prime is 288109. The next prime is 288137. The reversal of 288128 is 821882.

It is a tau number, because it is divible by the number of its divisors (16).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 288128.

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 288128.

It is an unprimeable number.

288128 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 as a sum of consecutive naturals, namely, 998 + ... + 1253.

2²⁸⁸¹²⁸ is an apocalyptic number.

It is an amenable number.

288128 is a deficient number, since it is larger than the sum of its proper divisors (286132).

288128 is an equidigital number, since it uses as much as digits as its factorization.

288128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2253 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 288128 is about 536.7755583109. The cubic root of 288128 is about 66.0483270170.

It can be divided in two parts, 288 and 128, that multiplied together give a square (36864 = 192²).

The spelling of 288128 in words is "two hundred eighty-eight thousand, one hundred twenty-eight".