57281400 has 216 divisors, whose sum is σ = 212252040. Its totient is φ = 13833600.

The previous prime is 57281377. The next prime is 57281423. The reversal of 57281400 is 418275.

57281400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57281377) and next prime (57281423).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 217669 + ... + 217931.

Almost surely, 2^57281400 is an apocalyptic number.

57281400 is a gapful number since it is divisible by the number (50) 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 57281400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106126020).

57281400 is an abundant number, since it is smaller than the sum of its proper divisors (154970640).

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

57281400 is a wasteful number, since it uses less digits than its factorization.

57281400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 57281400 is about 7568.4476611786. The cubic root of 57281400 is about 385.4823885326.

Adding to 57281400 its reverse (418275), we get a palindrome (57699675).

The spelling of 57281400 in words is "fifty-seven million, two hundred eighty-one thousand, four hundred".