48588 has 12 divisors (see below), whose sum is σ = 113400. Its totient is φ = 16192.

The previous prime is 48571. The next prime is 48589. The reversal of 48588 is 88584.

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

It is not an unprimeable number, because it can be changed into a prime (48589) 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, 2013 + ... + 2036.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2⁴⁸⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

48588 is an abundant number, since it is smaller than the sum of its proper divisors (64812).

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 (56700).

48588 is a wasteful number, since it uses less digits than its factorization.

48588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4054 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 48588 is about 220.4268586175. The cubic root of 48588 is about 36.4902081697.

It can be divided in two parts, 48 and 588, that multiplied together give a square (28224 = 168²).

The spelling of 48588 in words is "forty-eight thousand, five hundred eighty-eight".