57281952 has 192 divisors, whose sum is σ = 189665280. Its totient is φ = 14736384.

The previous prime is 57281947. The next prime is 57281981. The reversal of 57281952 is 25918275.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 57281952.

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 31 ways as a sum of consecutive naturals, for example, 690103 + ... + 690185.

It is an arithmetic number, because the mean of its divisors is an integer number (987840).

Almost surely, 2^57281952 is an apocalyptic number.

57281952 is a gapful number since it is divisible by the number (52) 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 57281952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94832640).

57281952 is an abundant number, since it is smaller than the sum of its proper divisors (132383328).

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

57281952 is a wasteful number, since it uses less digits than its factorization.

57281952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its digits is 50400, while the sum is 39.

The square root of 57281952 is about 7568.4841282783. The cubic root of 57281952 is about 385.4836267798.

The spelling of 57281952 in words is "fifty-seven million, two hundred eighty-one thousand, nine hundred fifty-two".