7928988192 has 144 divisors (see below), whose sum is σ = 23784153120. Its totient is φ = 2498688000.

The previous prime is 7928988163. The next prime is 7928988217. The reversal of 7928988192 is 2918898297.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3287467 + ... + 3289877.

It is an arithmetic number, because the mean of its divisors is an integer number (165167730).

Almost surely, 2^7928988192 is an apocalyptic number.

7928988192 is a gapful number since it is divisible by the number (72) 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 7928988192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11892076560).

7928988192 is an abundant number, since it is smaller than the sum of its proper divisors (15855164928).

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

7928988192 is a wasteful number, since it uses less digits than its factorization.

7928988192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3036 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 63.

The square root of 7928988192 is about 89044.8661743056. The cubic root of 7928988192 is about 1994.0647531794.

The spelling of 7928988192 in words is "seven billion, nine hundred twenty-eight million, nine hundred eighty-eight thousand, one hundred ninety-two".