5627884800 has 216 divisors, whose sum is σ = 18701504416. Its totient is φ = 1490411520.

The previous prime is 5627884753. The next prime is 5627884813. The reversal of 5627884800 is 84887265.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5627884800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3013467 + ... + 3015333.

Almost surely, 2^5627884800 is an apocalyptic number.

5627884800 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 5627884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350752208).

5627884800 is an abundant number, since it is smaller than the sum of its proper divisors (13073619616).

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

5627884800 is a wasteful number, since it uses less digits than its factorization.

5627884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 5627884800 is about 75019.2295348333. The cubic root of 5627884800 is about 1778.7506277173.

The spelling of 5627884800 in words is "five billion, six hundred twenty-seven million, eight hundred eighty-four thousand, eight hundred".