28830 has 24 divisors (see below), whose sum is σ = 71496. Its totient is φ = 7440.

The previous prime is 28817. The next prime is 28837. The reversal of 28830 is 3882.

28830 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

28830 is strictly pandigital in base 6.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 28797 and 28806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (2979).

2²⁸⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35748).

28830 is an abundant number, since it is smaller than the sum of its proper divisors (42666).

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

28830 is a wasteful number, since it uses less digits than its factorization.

28830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

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

The square root of 28830 is about 169.7939928266. The cubic root of 28830 is about 30.6630167889.

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

The spelling of 28830 in words is "twenty-eight thousand, eight hundred thirty".