58753280 has 72 divisors (see below), whose sum is σ = 142053912. Its totient is φ = 23281664.

The previous prime is 58753273. The next prime is 58753283. The reversal of 58753280 is 8235785.

It can be written as a sum of positive squares in 4 ways, for example, as 12730624 + 46022656 = 3568^2 + 6784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58753283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252044 + ... + 252276.

It is an arithmetic number, because the mean of its divisors is an integer number (1972971).

Almost surely, 2^58753280 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 58753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71026956).

58753280 is an abundant number, since it is smaller than the sum of its proper divisors (83300632).

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

58753280 is a wasteful number, since it uses less digits than its factorization.

58753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 58753280 is about 7665.0688189996. The cubic root of 58753280 is about 388.7562393239.

The spelling of 58753280 in words is "fifty-eight million, seven hundred fifty-three thousand, two hundred eighty".