4288846848 has 264 divisors, whose sum is σ = 13521597696. Its totient is φ = 1198080000.

The previous prime is 4288846847. The next prime is 4288846889. The reversal of 4288846848 is 8486488824.

It is a tau number, because it is divible by the number of its divisors (264).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4288846791 and 4288846800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288846847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5710473 + ... + 5711223.

Almost surely, 2^4288846848 is an apocalyptic number.

4288846848 is a gapful number since it is divisible by the number (48) 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 4288846848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6760798848).

4288846848 is an abundant number, since it is smaller than the sum of its proper divisors (9232750848).

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

4288846848 is a wasteful number, since it uses less digits than its factorization.

4288846848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 780 counting only the distinct ones).

The product of its digits is 25165824, while the sum is 60.

The square root of 4288846848 is about 65489.2880401062. The cubic root of 4288846848 is about 1624.7261831971.

The spelling of 4288846848 in words is "four billion, two hundred eighty-eight million, eight hundred forty-six thousand, eight hundred forty-eight".