58009032 has 96 divisors (see below), whose sum is σ = 168648480. Its totient is φ = 17948160.

The previous prime is 58009001. The next prime is 58009051. The reversal of 58009032 is 23090085.

58009032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 58008987 and 58009005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101307 + ... + 101877.

It is an arithmetic number, because the mean of its divisors is an integer number (1756755).

Almost surely, 2^58009032 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 58009032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84324240).

58009032 is an abundant number, since it is smaller than the sum of its proper divisors (110639448).

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

58009032 is a wasteful number, since it uses less digits than its factorization.

58009032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 58009032 is about 7616.3660626312. The cubic root of 58009032 is about 387.1077559841.

The spelling of 58009032 in words is "fifty-eight million, nine thousand, thirty-two".