8826048000 has 960 divisors, whose sum is σ = 39833164800. Its totient is φ = 1824768000.

The previous prime is 8826047987. The next prime is 8826048001. The reversal of 8826048000 is 8406288.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8826048001) 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 95 ways as a sum of consecutive naturals, for example, 44351901 + ... + 44352099.

It is an arithmetic number, because the mean of its divisors is an integer number (41492880).

Almost surely, 2^8826048000 is an apocalyptic number.

8826048000 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 8826048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19916582400).

8826048000 is an abundant number, since it is smaller than the sum of its proper divisors (31007116800).

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

8826048000 is a wasteful number, since it uses less digits than its factorization.

8826048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8826048000 is about 93947.0489158654. The cubic root of 8826048000 is about 2066.5952571002.

The spelling of 8826048000 in words is "eight billion, eight hundred twenty-six million, forty-eight thousand".