57284832 has 96 divisors (see below), whose sum is σ = 173746944. Its totient is φ = 16332800.

The previous prime is 57284827. The next prime is 57284837. The reversal of 57284832 is 23848275.

It is an interprime number because it is at equal distance from previous prime (57284827) and next prime (57284837).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57284837) 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 15 ways as a sum of consecutive naturals, for example, 16357 + ... + 19547.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864).

Almost surely, 2^57284832 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 57284832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

57284832 is an abundant number, since it is smaller than the sum of its proper divisors (116462112).

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

57284832 is a wasteful number, since it uses less digits than its factorization.

57284832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3224 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 57284832 is about 7568.6743885571. The cubic root of 57284832 is about 385.4900870708.

The spelling of 57284832 in words is "fifty-seven million, two hundred eighty-four thousand, eight hundred thirty-two".