5714284800 has 864 divisors, whose sum is σ = 23759979264. Its totient is φ = 1179648000.

The previous prime is 5714284781. The next prime is 5714284819. The reversal of 5714284800 is 84824175.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5714284781) and next prime (5714284819).

It is a super-2 number, since 2×5714284800² = 65306101551022080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93676770 + ... + 93676830.

It is an arithmetic number, because the mean of its divisors is an integer number (27499976).

Almost surely, 2^5714284800 is an apocalyptic number.

5714284800 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 5714284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879989632).

5714284800 is an abundant number, since it is smaller than the sum of its proper divisors (18045694464).

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

5714284800 is a wasteful number, since it uses less digits than its factorization.

5714284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 5714284800 is about 75592.8885544136. Note that the first 3 decimals coincide. The cubic root of 5714284800 is about 1787.8069748434.

The spelling of 5714284800 in words is "five billion, seven hundred fourteen million, two hundred eighty-four thousand, eight hundred".