7887433831728 has 480 divisors, whose sum is σ = 24388321047552. Its totient is φ = 2185743605760.

The previous prime is 7887433831703. The next prime is 7887433831729. The reversal of 7887433831728 is 8271383347887.

It is a super-2 number, since 2×7887433831728² (a number of 27 digits) contains 22 as substring.

Its product of digits (303464448) is a multiple of the sum of its prime divisors (3024).

It is not an unprimeable number, because it can be changed into a prime (7887433831729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4847838051 + ... + 4847839677.

Almost surely, 2^{7887433831728} 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 7887433831728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12194160523776).

7887433831728 is an abundant number, since it is smaller than the sum of its proper divisors (16500887215824).

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

7887433831728 is a wasteful number, since it uses less digits than its factorization.

7887433831728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3024 counting only the distinct ones).

The product of its digits is 303464448, while the sum is 69.

The spelling of 7887433831728 in words is "seven trillion, eight hundred eighty-seven billion, four hundred thirty-three million, eight hundred thirty-one thousand, seven hundred twenty-eight".