42028 has 24 divisors (see below), whose sum is σ = 89600. Its totient is φ = 16848.

The previous prime is 42023. The next prime is 42043. The reversal of 42028 is 82024.

It is not an unprimeable number, because it can be changed into a prime (42023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493 + ... + 571.

2⁴²⁰²⁸ 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 42028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44800).

42028 is an abundant number, since it is smaller than the sum of its proper divisors (47572).

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

42028 is a wasteful number, since it uses less digits than its factorization.

42028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42028 is about 205.0073169426. The cubic root of 42028 is about 34.7679892366.

The spelling of 42028 in words is "forty-two thousand, twenty-eight".