7288843667328 has 320 divisors, whose sum is σ = 23207489514000. Its totient is φ = 2264002928640.

The previous prime is 7288843667327. The next prime is 7288843667353. The reversal of 7288843667328 is 8237663488827.

7288843667328 is a `hidden beast` number, since 7 + 28 + 88 + 436 + 6 + 73 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7288843667327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11713228 + ... + 12319796.

Almost surely, 2^{7288843667328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7288843667328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11603744757000).

7288843667328 is an abundant number, since it is smaller than the sum of its proper divisors (15918645846672).

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

7288843667328 is a wasteful number, since it uses less digits than its factorization.

7288843667328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606675 (or 606654 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 7288843667328 in words is "seven trillion, two hundred eighty-eight billion, eight hundred forty-three million, six hundred sixty-seven thousand, three hundred twenty-eight".