58628 has 6 divisors (see below), whose sum is σ = 102606. Its totient is φ = 29312.

The previous prime is 58613. The next prime is 58631. The reversal of 58628 is 82685.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 64 = 242^2 + 8^2 .

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 58628.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7325 + ... + 7332.

It is an arithmetic number, because the mean of its divisors is an integer number (17101).

2⁵⁸⁶²⁸ is an apocalyptic number.

It is an amenable number.

58628 is a deficient number, since it is larger than the sum of its proper divisors (43978).

58628 is a wasteful number, since it uses less digits than its factorization.

58628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14661 (or 14659 counting only the distinct ones).

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

The square root of 58628 is about 242.1321952984. The cubic root of 58628 is about 38.8479726877.

It can be divided in two parts, 58 and 628, that added together give a palindrome (686).

The spelling of 58628 in words is "fifty-eight thousand, six hundred twenty-eight".