58005632 has 128 divisors (see below), whose sum is σ = 136598400. Its totient is φ = 24330240.

The previous prime is 58005631. The next prime is 58005637. The reversal of 58005632 is 23650085.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 58005595 and 58005604.

It is not an unprimeable number, because it can be changed into a prime (58005631) 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, 950882 + ... + 950942.

It is an arithmetic number, because the mean of its divisors is an integer number (1067175).

Almost surely, 2^58005632 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 58005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299200).

58005632 is an abundant number, since it is smaller than the sum of its proper divisors (78592768).

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

58005632 is a wasteful number, since it uses less digits than its factorization.

58005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 58005632 is about 7616.1428558031. The cubic root of 58005632 is about 387.1001928396.

The spelling of 58005632 in words is "fifty-eight million, five thousand, six hundred thirty-two".