58268 has 12 divisors (see below), whose sum is σ = 116592. Its totient is φ = 24960.

The previous prime is 58243. The next prime is 58271. The reversal of 58268 is 86285.

It is a happy number.

58268 is an admirable number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 58268.

It is a congruent number.

It is an unprimeable number.

58268 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, 1013 + ... + 1068.

It is an arithmetic number, because the mean of its divisors is an integer number (9716).

2⁵⁸²⁶⁸ is an apocalyptic number.

It is an amenable number.

58268 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (58296).

58268 is a wasteful number, since it uses less digits than its factorization.

58268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2090 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 58268 is about 241.3876550282. The cubic root of 58268 is about 38.7682952110.

The spelling of 58268 in words is "fifty-eight thousand, two hundred sixty-eight".