5727931200 has 420 divisors, whose sum is σ = 21255941740. Its totient is φ = 1512898560.

The previous prime is 5727931151. The next prime is 5727931207. The reversal of 5727931200 is 21397275.

5727931200 is a `hidden beast` number, since 572 + 79 + 3 + 12 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1679616 + 5726251584 = 1296^2 + 75672^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5727931207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25012686 + ... + 25012914.

Almost surely, 2^5727931200 is an apocalyptic number.

5727931200 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 5727931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10627970870).

5727931200 is an abundant number, since it is smaller than the sum of its proper divisors (15528010540).

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

5727931200 is a wasteful number, since it uses less digits than its factorization.

5727931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5727931200 is about 75683.0971882097. The cubic root of 5727931200 is about 1789.2290095387.

The spelling of 5727931200 in words is "five billion, seven hundred twenty-seven million, nine hundred thirty-one thousand, two hundred".