42328 has 32 divisors (see below), whose sum is σ = 95760. Its totient is φ = 17280.

The previous prime is 42323. The next prime is 42331. The reversal of 42328 is 82324.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1126 + ... + 1162.

2⁴²³²⁸ 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 42328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880).

42328 is an abundant number, since it is smaller than the sum of its proper divisors (53432).

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

42328 is a wasteful number, since it uses less digits than its factorization.

42328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 63 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 42328 is about 205.7376970805. The cubic root of 42328 is about 34.8505189548.

It can be divided in two parts, 4232 and 8, that multiplied together give a square (33856 = 184²).

The spelling of 42328 in words is "forty-two thousand, three hundred twenty-eight".