10286848000 has 384 divisors, whose sum is σ = 30264736320. Its totient is φ = 3440640000.

The previous prime is 10286847983. The next prime is 10286848001. The reversal of 10286848000 is 84868201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10286848001) 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 31 ways as a sum of consecutive naturals, for example, 36607860 + ... + 36608140.

Almost surely, 2^10286848000 is an apocalyptic number.

10286848000 is a gapful number since it is divisible by the number (10) 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 10286848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15132368160).

10286848000 is an abundant number, since it is smaller than the sum of its proper divisors (19977888320).

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

10286848000 is a wasteful number, since it uses less digits than its factorization.

10286848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 10286848000 in words is "ten billion, two hundred eighty-six million, eight hundred forty-eight thousand".