58768848 has 80 divisors (see below), whose sum is σ = 174542400. Its totient is φ = 18910080.

The previous prime is 58768837. The next prime is 58768883. The reversal of 58768848 is 84886785.

It is a super-3 number, since 3×58768848³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 58768794 and 58768803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10183 + ... + 14873.

It is an arithmetic number, because the mean of its divisors is an integer number (2181780).

Almost surely, 2^58768848 is an apocalyptic number.

58768848 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 58768848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87271200).

58768848 is an abundant number, since it is smaller than the sum of its proper divisors (115773552).

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

58768848 is a wasteful number, since it uses less digits than its factorization.

58768848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4725 counting only the distinct ones).

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

The square root of 58768848 is about 7666.0842677341. The cubic root of 58768848 is about 388.7905728548.

The spelling of 58768848 in words is "fifty-eight million, seven hundred sixty-eight thousand, eight hundred forty-eight".