58768424 has 64 divisors (see below), whose sum is σ = 132330240. Its totient is φ = 24111360.

The previous prime is 58768417. The next prime is 58768429. The reversal of 58768424 is 42486785.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (58768429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53222 + ... + 54314.

It is an arithmetic number, because the mean of its divisors is an integer number (2067660).

Almost surely, 2^58768424 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 58768424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66165120).

58768424 is an abundant number, since it is smaller than the sum of its proper divisors (73561816).

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

58768424 is a wasteful number, since it uses less digits than its factorization.

58768424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1166 counting only the distinct ones).

The product of its digits is 430080, while the sum is 44.

The square root of 58768424 is about 7666.0566134095. The cubic root of 58768424 is about 388.7896378492.

The spelling of 58768424 in words is "fifty-eight million, seven hundred sixty-eight thousand, four hundred twenty-four".