5284044800 has 84 divisors (see below), whose sum is σ = 13104139146. Its totient is φ = 2113536000.

The previous prime is 5284044793. The next prime is 5284044803. The reversal of 5284044800 is 84404825.

It can be written as a sum of positive squares in 3 ways, for example, as 3957919744 + 1326125056 = 62912^2 + 36416^2 .

It is a super-2 number, since 2×5284044800² = 55842258896814080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5284044803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 191900 + ... + 217700.

Almost surely, 2^5284044800 is an apocalyptic number.

5284044800 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 5284044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552069573).

5284044800 is an abundant number, since it is smaller than the sum of its proper divisors (7820094346).

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

5284044800 is an equidigital number, since it uses as much as digits as its factorization.

5284044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25837 (or 25808 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 5284044800 is about 72691.4355340435. The cubic root of 5284044800 is about 1741.7620763292.

The spelling of 5284044800 in words is "five billion, two hundred eighty-four million, forty-four thousand, eight hundred".