242028 has 42 divisors (see below), whose sum is σ = 642684. Its totient is φ = 79704.

The previous prime is 242009. The next prime is 242057. The reversal of 242028 is 820242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 242028.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242028.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2875 + ... + 2957.

It is an arithmetic number, because the mean of its divisors is an integer number (15302).

2²⁴²⁰²⁸ 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 242028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321342).

242028 is an abundant number, since it is smaller than the sum of its proper divisors (400656).

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

242028 is an equidigital number, since it uses as much as digits as its factorization.

242028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242028 is about 491.9634132738. The cubic root of 242028 is about 62.3192001536.

The spelling of 242028 in words is "two hundred forty-two thousand, twenty-eight".