35028 has 36 divisors (see below), whose sum is σ = 101920. Its totient is φ = 9936.

The previous prime is 35027. The next prime is 35051. The reversal of 35028 is 82053.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 35028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35023) 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, 183 + ... + 321.

2³⁵⁰²⁸ 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 35028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50960).

35028 is an abundant number, since it is smaller than the sum of its proper divisors (66892).

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

35028 is a wasteful number, since it uses less digits than its factorization.

35028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 151 counting only the distinct ones).

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

The square root of 35028 is about 187.1576875258. The cubic root of 35028 is about 32.7193836203.

It can be divided in two parts, 350 and 28, that added together give a triangular number (378 = T₂₇).

The spelling of 35028 in words is "thirty-five thousand, twenty-eight".