57778848 has 72 divisors (see below), whose sum is σ = 172972800. Its totient is φ = 18244224.

The previous prime is 57778841. The next prime is 57778849. The reversal of 57778848 is 84887775.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 57778794 and 57778803.

It is not an unprimeable number, because it can be changed into a prime (57778841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193 + ... + 10751.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 2^57778848 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 57778848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

57778848 is an abundant number, since it is smaller than the sum of its proper divisors (115193952).

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

57778848 is a wasteful number, since it uses less digits than its factorization.

57778848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 10583 counting only the distinct ones).

The product of its digits is 3512320, while the sum is 54.

The square root of 57778848 is about 7601.2398988586. The cubic root of 57778848 is about 386.5950534571.

The spelling of 57778848 in words is "fifty-seven million, seven hundred seventy-eight thousand, eight hundred forty-eight".