8848132800 has 672 divisors, whose sum is σ = 34922764800. Its totient is φ = 1937571840.

The previous prime is 8848132793. The next prime is 8848132823. The reversal of 8848132800 is 82318488.

It is a congruent number.

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, 20154981 + ... + 20155419.

It is an arithmetic number, because the mean of its divisors is an integer number (51968400).

Almost surely, 2^8848132800 is an apocalyptic number.

8848132800 is a gapful number since it is divisible by the number (80) 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 8848132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17461382400).

8848132800 is an abundant number, since it is smaller than the sum of its proper divisors (26074632000).

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

8848132800 is a wasteful number, since it uses less digits than its factorization.

8848132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 8848132800 is about 94064.5140315943. The cubic root of 8848132800 is about 2068.3175201192.

The spelling of 8848132800 in words is "eight billion, eight hundred forty-eight million, one hundred thirty-two thousand, eight hundred".