57280000 has 100 divisors (see below), whose sum is σ = 143813340. Its totient is φ = 22784000.

The previous prime is 57279991. The next prime is 57280001. The reversal of 57280000 is 8275.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57280001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319911 + ... + 320089.

Almost surely, 2^57280000 is an apocalyptic number.

57280000 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 57280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71906670).

57280000 is an abundant number, since it is smaller than the sum of its proper divisors (86533340).

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

57280000 is an frugal number, since it uses more digits than its factorization.

57280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 57280000 is about 7568.3551713698. The cubic root of 57280000 is about 385.4792480150.

Adding to 57280000 its reverse (8275), we get a palindrome (57288275).

The spelling of 57280000 in words is "fifty-seven million, two hundred eighty thousand".