57783312 has 120 divisors (see below), whose sum is σ = 170178840. Its totient is φ = 18278400.

The previous prime is 57783293. The next prime is 57783329. The reversal of 57783312 is 21338775.

57783312 is a `hidden beast` number, since 577 + 83 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 31404816 = 5136^2 + 5604^2 .

It is a super-2 number, since 2×57783312² = 6677822291378688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 421708 + ... + 421844.

It is an arithmetic number, because the mean of its divisors is an integer number (1418157).

Almost surely, 2^57783312 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 57783312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85089420).

57783312 is an abundant number, since it is smaller than the sum of its proper divisors (112395528).

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

57783312 is a wasteful number, since it uses less digits than its factorization.

57783312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 272 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 57783312 is about 7601.5335294926. The cubic root of 57783312 is about 386.6050093258.

The spelling of 57783312 in words is "fifty-seven million, seven hundred eighty-three thousand, three hundred twelve".