5281632800 has 144 divisors (see below), whose sum is σ = 13217904000. Its totient is φ = 2060160000.

The previous prime is 5281632799. The next prime is 5281632827. The reversal of 5281632800 is 82361825.

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, 7032425 + ... + 7033175.

It is an arithmetic number, because the mean of its divisors is an integer number (91791000).

Almost surely, 2^5281632800 is an apocalyptic number.

5281632800 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 5281632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6608952000).

5281632800 is an abundant number, since it is smaller than the sum of its proper divisors (7936271200).

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

5281632800 is a wasteful number, since it uses less digits than its factorization.

5281632800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 5281632800 is about 72674.8429650866. The cubic root of 5281632800 is about 1741.4970161542.

The spelling of 5281632800 in words is "five billion, two hundred eighty-one million, six hundred thirty-two thousand, eight hundred".