7689248928 has 144 divisors (see below), whose sum is σ = 23760172800. Its totient is φ = 2349803520.

The previous prime is 7689248911. The next prime is 7689248929. The reversal of 7689248928 is 8298429867.

7689248928 is a `hidden beast` number, since 7 + 68 + 92 + 489 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7689248929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146968 + ... + 192296.

It is an arithmetic number, because the mean of its divisors is an integer number (165001200).

Almost surely, 2^7689248928 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 7689248928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11880086400).

7689248928 is an abundant number, since it is smaller than the sum of its proper divisors (16070923872).

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

7689248928 is a wasteful number, since it uses less digits than its factorization.

7689248928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45395 (or 45384 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 7689248928 is about 87688.3625574112. The cubic root of 7689248928 is about 1973.7613493082.

The spelling of 7689248928 in words is "seven billion, six hundred eighty-nine million, two hundred forty-eight thousand, nine hundred twenty-eight".