10288044000 has 864 divisors, whose sum is σ = 42085461600. Its totient is φ = 2372198400.

The previous prime is 10288043929. The next prime is 10288044029. The reversal of 10288044000 is 44088201.

10288044000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115595956 + ... + 115596044.

It is an arithmetic number, because the mean of its divisors is an integer number (48710025).

Almost surely, 2^10288044000 is an apocalyptic number.

10288044000 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 10288044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21042730800).

10288044000 is an abundant number, since it is smaller than the sum of its proper divisors (31797417600).

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

10288044000 is a wasteful number, since it uses less digits than its factorization.

10288044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 10288044000 in words is "ten billion, two hundred eighty-eight million, forty-four thousand".