57824448 has 168 divisors, whose sum is σ = 178368960. Its totient is φ = 16473600.

The previous prime is 57824447. The next prime is 57824453. The reversal of 57824448 is 84442875.

It is not an unprimeable number, because it can be changed into a prime (57824441) 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 23 ways as a sum of consecutive naturals, for example, 441343 + ... + 441473.

It is an arithmetic number, because the mean of its divisors is an integer number (1061720).

Almost surely, 2^57824448 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 57824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89184480).

57824448 is an abundant number, since it is smaller than the sum of its proper divisors (120544512).

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

57824448 is a wasteful number, since it uses less digits than its factorization.

57824448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 57824448 is about 7604.2388179225. The cubic root of 57824448 is about 386.6967290671.

The spelling of 57824448 in words is "fifty-seven million, eight hundred twenty-four thousand, four hundred forty-eight".