58848 has 24 divisors (see below), whose sum is σ = 154728. Its totient is φ = 19584.

The previous prime is 58831. The next prime is 58889. The reversal of 58848 is 84885.

58848 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58848.

It is an unprimeable number.

58848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (6447).

2⁵⁸⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

58848 is an abundant number, since it is smaller than the sum of its proper divisors (95880).

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 (77364).

58848 is a wasteful number, since it uses less digits than its factorization.

58848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

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

The square root of 58848 is about 242.5860672009. The cubic root of 58848 is about 38.8965040265.

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

The spelling of 58848 in words is "fifty-eight thousand, eight hundred forty-eight".