32028 has 24 divisors (see below), whose sum is σ = 79632. Its totient is φ = 9984.

The previous prime is 32027. The next prime is 32029. The reversal of 32028 is 82023.

It is an interprime number because it is at equal distance from previous prime (32027) and next prime (32029).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 31998 and 32016.

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 32028.

It is not an unprimeable number, because it can be changed into a prime (32027) 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, 126 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (3318).

2³²⁰²⁸ 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 32028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39816).

32028 is an abundant number, since it is smaller than the sum of its proper divisors (47604).

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

32028 is a wasteful number, since it uses less digits than its factorization.

32028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 32028 is about 178.9636834668. The cubic root of 32028 is about 31.7572781794.

It can be divided in two parts, 3 and 2028, that multiplied together give a square (6084 = 78²).

The spelling of 32028 in words is "thirty-two thousand, twenty-eight".