58728313 has 6 divisors (see below), whose sum is σ = 68316666. Its totient is φ = 50338512.

The previous prime is 58728253. The next prime is 58728317. The reversal of 58728313 is 31382785.

58728313 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 only one way, i.e., 42471289 + 16257024 = 6517^2 + 4032^2 .

It is not a de Polignac number, because 58728313 - 2¹³ = 58720121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58728317) 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 5 ways as a sum of consecutive naturals, for example, 599220 + ... + 599317.

It is an arithmetic number, because the mean of its divisors is an integer number (11386111).

Almost surely, 2^58728313 is an apocalyptic number.

It is an amenable number.

58728313 is a deficient number, since it is larger than the sum of its proper divisors (9588353).

58728313 is a wasteful number, since it uses less digits than its factorization.

58728313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198551 (or 1198544 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 58728313 is about 7663.4400239057. The cubic root of 58728313 is about 388.7011646557.

It can be divided in two parts, 587 and 28313, that added together give a square (28900 = 170²).

The spelling of 58728313 in words is "fifty-eight million, seven hundred twenty-eight thousand, three hundred thirteen".