7882549728 has 96 divisors (see below), whose sum is σ = 21166064640. Its totient is φ = 2567462400.

The previous prime is 7882549721. The next prime is 7882549729. The reversal of 7882549728 is 8279452887.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (18063360) is a multiple of the sum of its prime factors (2880).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7882549721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4145578 + ... + 4147478.

It is an arithmetic number, because the mean of its divisors is an integer number (220479840).

Almost surely, 2^7882549728 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 7882549728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10583032320).

7882549728 is an abundant number, since it is smaller than the sum of its proper divisors (13283514912).

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

7882549728 is a wasteful number, since it uses less digits than its factorization.

7882549728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2872 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 60.

The square root of 7882549728 is about 88783.7244544291. The cubic root of 7882549728 is about 1990.1641850007.

The spelling of 7882549728 in words is "seven billion, eight hundred eighty-two million, five hundred forty-nine thousand, seven hundred twenty-eight".