58389120 has 256 divisors, whose sum is σ = 215424000. Its totient is φ = 14929920.

The previous prime is 58389103. The next prime is 58389127. The reversal of 58389120 is 2198385.

58389120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (58389127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 535626 + ... + 535734.

It is an arithmetic number, because the mean of its divisors is an integer number (841500).

Almost surely, 2^58389120 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 58389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107712000).

58389120 is an abundant number, since it is smaller than the sum of its proper divisors (157034880).

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

58389120 is a wasteful number, since it uses less digits than its factorization.

58389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 58389120 is about 7641.2773801243. The cubic root of 58389120 is about 387.9513879651.

The spelling of 58389120 in words is "fifty-eight million, three hundred eighty-nine thousand, one hundred twenty".