65928 has 32 divisors (see below), whose sum is σ = 171360. Its totient is φ = 21120.

The previous prime is 65927. The next prime is 65929. The reversal of 65928 is 82956.

It is an interprime number because it is at equal distance from previous prime (65927) and next prime (65929).

It is a junction number, because it is equal to n+sod(n) for n = 65895 and 65904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

2⁶⁵⁹²⁸ 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 65928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680).

65928 is an abundant number, since it is smaller than the sum of its proper divisors (105432).

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

65928 is a wasteful number, since it uses less digits than its factorization.

65928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 65928 is about 256.7644835253. The cubic root of 65928 is about 40.3976994409.

The spelling of 65928 in words is "sixty-five thousand, nine hundred twenty-eight".