56283200 has 84 divisors (see below), whose sum is σ = 143385540. Its totient is φ = 21719040.

The previous prime is 56283181. The next prime is 56283203. The reversal of 56283200 is 238265.

It can be written as a sum of positive squares in 6 ways, for example, as 9388096 + 46895104 = 3064^2 + 6848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56283200.

It is not an unprimeable number, because it can be changed into a prime (56283203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45794 + ... + 47006.

Almost surely, 2^56283200 is an apocalyptic number.

56283200 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 56283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71692770).

56283200 is an abundant number, since it is smaller than the sum of its proper divisors (87102340).

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

56283200 is a wasteful number, since it uses less digits than its factorization.

56283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 56283200 is about 7502.2130068400. The cubic root of 56283200 is about 383.2300835136.

The spelling of 56283200 in words is "fifty-six million, two hundred eighty-three thousand, two hundred".