58005768 has 48 divisors (see below), whose sum is σ = 154064880. Its totient is φ = 18195712.

The previous prime is 58005763. The next prime is 58005769. The reversal of 58005768 is 86750085.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (58005763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2755 + ... + 11117.

It is an arithmetic number, because the mean of its divisors is an integer number (3209685).

Almost surely, 2^58005768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58005768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77032440).

58005768 is an abundant number, since it is smaller than the sum of its proper divisors (96059112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58005768 is a wasteful number, since it uses less digits than its factorization.

58005768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8406 (or 8385 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 58005768 is about 7616.1517842018. The cubic root of 58005768 is about 387.1004953710.

The spelling of 58005768 in words is "fifty-eight million, five thousand, seven hundred sixty-eight".