59628 has 12 divisors (see below), whose sum is σ = 139160. Its totient is φ = 19872.

The previous prime is 59627. The next prime is 59629. The reversal of 59628 is 82695.

It is an interprime number because it is at equal distance from previous prime (59627) and next prime (59629).

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

It is a junction number, because it is equal to n+sod(n) for n = 59595 and 59604.

It is not an unprimeable number, because it can be changed into a prime (59621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2473 + ... + 2496.

2⁵⁹⁶²⁸ is an apocalyptic number.

It is an amenable number.

59628 is an abundant number, since it is smaller than the sum of its proper divisors (79532).

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 (69580).

59628 is a wasteful number, since it uses less digits than its factorization.

59628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4974 counting only the distinct ones).

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

The square root of 59628 is about 244.1884518154. The cubic root of 59628 is about 39.0676013604.

The spelling of 59628 in words is "fifty-nine thousand, six hundred twenty-eight".