35828 has 18 divisors (see below), whose sum is σ = 69174. Its totient is φ = 16224.

The previous prime is 35809. The next prime is 35831. The reversal of 35828 is 82853.

It can be written as a sum of positive squares in 3 ways, for example, as 484 + 35344 = 22^2 + 188^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 35797 and 35806.

It is a congruent number.

It is an unprimeable number.

35828 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 5 ways as a sum of consecutive naturals, for example, 650 + ... + 702.

It is an arithmetic number, because the mean of its divisors is an integer number (3843).

2³⁵⁸²⁸ is an apocalyptic number.

It is an amenable number.

35828 is a deficient number, since it is larger than the sum of its proper divisors (33346).

35828 is a wasteful number, since it uses less digits than its factorization.

35828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 35828 is about 189.2828571213. The cubic root of 35828 is about 32.9666022687.

35828 divided by its sum of digits (26) gives a triangular number (1378 = T₅₂).

The spelling of 35828 in words is "thirty-five thousand, eight hundred twenty-eight".