83028 has 48 divisors (see below), whose sum is σ = 229824. Its totient is φ = 23040.

The previous prime is 83023. The next prime is 83047. The reversal of 83028 is 82038.

83028 is a nontrivial binomial coefficient, being equal to C(408, 2).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 82995 and 83013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83023) by changing a digit.

83028 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 in 15 ways as a sum of consecutive naturals, for example, 2226 + ... + 2262.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2⁸³⁰²⁸ is an apocalyptic number.

83028 is the 407-th triangular number and also the 204-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912).

83028 is an abundant number, since it is smaller than the sum of its proper divisors (146796).

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

83028 is a wasteful number, since it uses less digits than its factorization.

83028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 83028 is about 288.1457964295. The cubic root of 83028 is about 43.6256113028.

Subtracting from 83028 its reverse (82038), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 830 and 28, that added together give a palindrome (858).

The spelling of 83028 in words is "eighty-three thousand, twenty-eight".