58541952 has 128 divisors (see below), whose sum is σ = 184089600. Its totient is φ = 16128000.

The previous prime is 58541927. The next prime is 58541953. The reversal of 58541952 is 25914585.

58541952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58541952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58541953) 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 15 ways as a sum of consecutive naturals, for example, 77577 + ... + 78327.

It is an arithmetic number, because the mean of its divisors is an integer number (1438200).

Almost surely, 2^58541952 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 58541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92044800).

58541952 is an abundant number, since it is smaller than the sum of its proper divisors (125547648).

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

58541952 is a wasteful number, since it uses less digits than its factorization.

58541952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 792 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The square root of 58541952 is about 7651.2712669203. The cubic root of 58541952 is about 388.2895772853.

The spelling of 58541952 in words is "fifty-eight million, five hundred forty-one thousand, nine hundred fifty-two".