58220352 has 84 divisors (see below), whose sum is σ = 169716196. Its totient is φ = 19077120.

The previous prime is 58220321. The next prime is 58220353. The reversal of 58220352 is 25302285.

58220352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8433216 + 49787136 = 2904^2 + 7056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58220353) 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 11 ways as a sum of consecutive naturals, for example, 34308 + ... + 35964.

Almost surely, 2^58220352 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 58220352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84858098).

58220352 is an abundant number, since it is smaller than the sum of its proper divisors (111495844).

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

58220352 is a wasteful number, since it uses less digits than its factorization.

58220352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 58220352 is about 7630.2262089665. The cubic root of 58220352 is about 387.5772488379.

The spelling of 58220352 in words is "fifty-eight million, two hundred twenty thousand, three hundred fifty-two".