5727938400 has 216 divisors, whose sum is σ = 21076932240. Its totient is φ = 1460997120.

The previous prime is 5727938389. The next prime is 5727938413. The reversal of 5727938400 is 48397275.

5727938400 is a `hidden beast` number, since 572 + 7 + 9 + 38 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148306 + ... + 182894.

It is an arithmetic number, because the mean of its divisors is an integer number (97578390).

Almost surely, 2^5727938400 is an apocalyptic number.

5727938400 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 5727938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10538466120).

5727938400 is an abundant number, since it is smaller than the sum of its proper divisors (15348993840).

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

5727938400 is a wasteful number, since it uses less digits than its factorization.

5727938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34638 (or 34622 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5727938400 is about 75683.1447549585. The cubic root of 5727938400 is about 1789.2297592244.

The spelling of 5727938400 in words is "five billion, seven hundred twenty-seven million, nine hundred thirty-eight thousand, four hundred".