65628 has 18 divisors (see below), whose sum is σ = 165984. Its totient is φ = 21864.

The previous prime is 65617. The next prime is 65629. The reversal of 65628 is 82656.

65628 is a `hidden beast` number, since 656 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65629) by changing a digit.

65628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 876 + ... + 947.

2⁶⁵⁶²⁸ is an apocalyptic number.

It is an amenable number.

65628 is an abundant number, since it is smaller than the sum of its proper divisors (100356).

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

65628 is a wasteful number, since it uses less digits than its factorization.

65628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1828 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 65628 is about 256.1796244825. The cubic root of 65628 is about 40.3363307807.

The spelling of 65628 in words is "sixty-five thousand, six hundred twenty-eight".