58848768 has 240 divisors, whose sum is σ = 196612416. Its totient is φ = 17418240.

The previous prime is 58848767. The next prime is 58848791. The reversal of 58848768 is 86784885.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58848767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368555 + ... + 1368597.

Almost surely, 2^58848768 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 58848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98306208).

58848768 is an abundant number, since it is smaller than the sum of its proper divisors (137763648).

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

58848768 is an equidigital number, since it uses as much as digits as its factorization.

58848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 58848768 is about 7671.2950666755. The cubic root of 58848768 is about 388.9667323294.

The spelling of 58848768 in words is "fifty-eight million, eight hundred forty-eight thousand, seven hundred sixty-eight".