57282768 has 80 divisors (see below), whose sum is σ = 166239360. Its totient is φ = 18883584.

The previous prime is 57282749. The next prime is 57282787. The reversal of 57282768 is 86728275.

57282768 is a `hidden beast` number, since 572 + 8 + 2 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (57282749) and next prime (57282787).

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, 41221 + ... + 42587.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 2^57282768 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 57282768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83119680).

57282768 is an abundant number, since it is smaller than the sum of its proper divisors (108956592).

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

57282768 is a wasteful number, since it uses less digits than its factorization.

57282768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1469 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 57282768 is about 7568.5380358429. The cubic root of 57282768 is about 385.4854572176.

The spelling of 57282768 in words is "fifty-seven million, two hundred eighty-two thousand, seven hundred sixty-eight".