58042368 has 144 divisors (see below), whose sum is σ = 173759040. Its totient is φ = 18653184.

The previous prime is 58042331. The next prime is 58042463. The reversal of 58042368 is 86324085.

58042368 is a `hidden beast` number, since 580 + 42 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 866271 + ... + 866337.

It is an arithmetic number, because the mean of its divisors is an integer number (1206660).

Almost surely, 2^58042368 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 58042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86879520).

58042368 is an abundant number, since it is smaller than the sum of its proper divisors (115716672).

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

58042368 is a wasteful number, since it uses less digits than its factorization.

58042368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 58042368 is about 7618.5541935462. The cubic root of 58042368 is about 387.1818947434.

The spelling of 58042368 in words is "fifty-eight million, forty-two thousand, three hundred sixty-eight".