28035 has 24 divisors (see below), whose sum is σ = 56160. Its totient is φ = 12672.

The previous prime is 28031. The next prime is 28051. The reversal of 28035 is 53082.

28035 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

28035 is an admirable number.

It is not a de Polignac number, because 28035 - 2² = 28031 is a prime.

It is a super-2 number, since 2×28035² = 1571922450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27999 and 28017.

It is not an unprimeable number, because it can be changed into a prime (28031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

2²⁸⁰³⁵ is an apocalyptic number.

28035 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28080).

28035 is a wasteful number, since it uses less digits than its factorization.

28035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 28035 is about 167.4365551485. The cubic root of 28035 is about 30.3785369046.

The spelling of 28035 in words is "twenty-eight thousand, thirty-five".