4822848000 has 320 divisors, whose sum is σ = 17822787840. Its totient is φ = 1285632000.

The previous prime is 4822847993. The next prime is 4822848061. The reversal of 4822848000 is 8482284.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×4822848000² = 46519725662208000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1726605 + ... + 1729395.

It is an arithmetic number, because the mean of its divisors is an integer number (55696212).

Almost surely, 2^4822848000 is an apocalyptic number.

4822848000 is a gapful number since it is divisible by the number (40) 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 4822848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8911393920).

4822848000 is an abundant number, since it is smaller than the sum of its proper divisors (12999939840).

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

4822848000 is an equidigital number, since it uses as much as digits as its factorization.

4822848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4822848000 is about 69446.7277846840. The cubic root of 4822848000 is about 1689.5375880872.

It can be divided in two parts, 482 and 2848000, that added together give a palindrome (2848482).

The spelling of 4822848000 in words is "four billion, eight hundred twenty-two million, eight hundred forty-eight thousand".