35628 has 12 divisors (see below), whose sum is σ = 83160. Its totient is φ = 11872.

The previous prime is 35617. The next prime is 35671. The reversal of 35628 is 82653.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 3⁷ + 5³ + 6² + 2¹⁵ + 8³ .

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 35598 and 35607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1473 + ... + 1496.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2³⁵⁶²⁸ is an apocalyptic number.

It is an amenable number.

35628 is an abundant number, since it is smaller than the sum of its proper divisors (47532).

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 (41580).

35628 is a wasteful number, since it uses less digits than its factorization.

35628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2974 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 35628 is about 188.7538079086. The cubic root of 35628 is about 32.9051454276.

It can be divided in two parts, 3562 and 8, that added together give a triangular number (3570 = T₈₄).

The spelling of 35628 in words is "thirty-five thousand, six hundred twenty-eight".