59928 has 32 divisors (see below), whose sum is σ = 164160. Its totient is φ = 18080.

The previous prime is 59921. The next prime is 59929. The reversal of 59928 is 82995.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 151 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2⁵⁹⁹²⁸ 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 59928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080).

59928 is an abundant number, since it is smaller than the sum of its proper divisors (104232).

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

59928 is a wasteful number, since it uses less digits than its factorization.

59928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 59928 is about 244.8019607765. The cubic root of 59928 is about 39.1330106732.

Subtracting from 59928 its sum of digits (33), we obtain a palindrome (59895).

The spelling of 59928 in words is "fifty-nine thousand, nine hundred twenty-eight".