58328 has 16 divisors (see below), whose sum is σ = 114480. Its totient is φ = 27808.

The previous prime is 58321. The next prime is 58337. The reversal of 58328 is 82385.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 58297 and 58306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58321) by changing a digit.

58328 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, 26 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (7155).

2⁵⁸³²⁸ is an apocalyptic number.

It is an amenable number.

58328 is a deficient number, since it is larger than the sum of its proper divisors (56152).

58328 is a wasteful number, since it uses less digits than its factorization.

58328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 58328 is about 241.5119044685. The cubic root of 58328 is about 38.7815975368.

It can be divided in two parts, 5832 and 8, that multiplied together give a 6-th power (46656 = 6⁶).

The spelling of 58328 in words is "fifty-eight thousand, three hundred twenty-eight".