58972848 has 80 divisors (see below), whose sum is σ = 169012992. Its totient is φ = 17568000.

The previous prime is 58972841. The next prime is 58972853. The reversal of 58972848 is 84827985.

It is a happy number.

58972848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×58972848² = 6955593602462208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58972848.

It is not an unprimeable number, because it can be changed into a prime (58972841) 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, 31293 + ... + 33123.

Almost surely, 2^58972848 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 58972848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84506496).

58972848 is an abundant number, since it is smaller than the sum of its proper divisors (110040144).

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

58972848 is a wasteful number, since it uses less digits than its factorization.

58972848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 58972848 is about 7679.3780998203. The cubic root of 58972848 is about 389.2399134191.

It can be divided in two parts, 589 and 72848, that added together give a palindrome (73437).

The spelling of 58972848 in words is "fifty-eight million, nine hundred seventy-two thousand, eight hundred forty-eight".