58536848 has 80 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 25804800.

The previous prime is 58536847. The next prime is 58536859. The reversal of 58536848 is 84863585.

It can be written as a sum of positive squares in 8 ways, for example, as 11641744 + 46895104 = 3412^2 + 6848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58536847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323318 + ... + 323498.

It is an arithmetic number, because the mean of its divisors is an integer number (1599507).

Almost surely, 2^58536848 is an apocalyptic number.

58536848 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58536848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

58536848 is an abundant number, since it is smaller than the sum of its proper divisors (69423712).

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

58536848 is a wasteful number, since it uses less digits than its factorization.

58536848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its digits is 921600, while the sum is 47.

The square root of 58536848 is about 7650.9377203059. The cubic root of 58536848 is about 388.2782925710.

The spelling of 58536848 in words is "fifty-eight million, five hundred thirty-six thousand, eight hundred forty-eight".