10288228638720 has 448 divisors, whose sum is σ = 34490877732864. Its totient is φ = 2613608448000.

The previous prime is 10288228638647. The next prime is 10288228638739. The reversal of 10288228638720 is 2783682288201.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 709378989 + ... + 709393491.

It is an arithmetic number, because the mean of its divisors is an integer number (76988566368).

Almost surely, 2^{10288228638720} is an apocalyptic number.

10288228638720 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 10288228638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245438866432).

10288228638720 is an abundant number, since it is smaller than the sum of its proper divisors (24202649094144).

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

10288228638720 is a wasteful number, since it uses less digits than its factorization.

10288228638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14811 (or 14787 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 10288228638720 in words is "ten trillion, two hundred eighty-eight billion, two hundred twenty-eight million, six hundred thirty-eight thousand, seven hundred twenty".