35928 has 24 divisors (see below), whose sum is σ = 97500. Its totient is φ = 11952.

The previous prime is 35923. The next prime is 35933. The reversal of 35928 is 82953.

It is an interprime number because it is at equal distance from previous prime (35923) and next prime (35933).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 178 + ... + 321.

35928 is a Friedman number, since it can be written as (28+5)^3-9, using all its digits and the basic arithmetic operations.

2³⁵⁹²⁸ is an apocalyptic number.

It is an amenable number.

35928 is an abundant number, since it is smaller than the sum of its proper divisors (61572).

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

35928 is a wasteful number, since it uses less digits than its factorization.

35928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 35928 is about 189.5468279872. The cubic root of 35928 is about 32.9972449491.

It can be divided in two parts, 3592 and 8, that added together give a square (3600 = 60²).

The spelling of 35928 in words is "thirty-five thousand, nine hundred twenty-eight".