7909820928 has 240 divisors, whose sum is σ = 24833488680. Its totient is φ = 2413559808.

The previous prime is 7909820917. The next prime is 7909820929. The reversal of 7909820928 is 8290289097.

It can be written as a sum of positive squares in 4 ways, for example, as 7308198144 + 601622784 = 85488^2 + 24528^2 .

It is a super-2 number, since 2×7909820928² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7909820929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2897068 + ... + 2899796.

Almost surely, 2^7909820928 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 7909820928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12416744340).

7909820928 is an abundant number, since it is smaller than the sum of its proper divisors (16923667752).

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

7909820928 is a wasteful number, since it uses less digits than its factorization.

7909820928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 7909820928 is about 88937.1740500000. The cubic root of 7909820928 is about 1992.4566621294.

The spelling of 7909820928 in words is "seven billion, nine hundred nine million, eight hundred twenty thousand, nine hundred twenty-eight".