8328913920 has 132 divisors (see below), whose sum is σ = 28859629500. Its totient is φ = 2221031424.

The previous prime is 8328913913. The next prime is 8328913927. The reversal of 8328913920 is 293198238.

It is an interprime number because it is at equal distance from previous prime (8328913913) and next prime (8328913927).

It can be written as a sum of positive squares in 2 ways, for example, as 2415919104 + 5912994816 = 49152^2 + 76896^2 .

It is a super-4 number, since 4×8328913920⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8328913927) 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 11 ways as a sum of consecutive naturals, for example, 44295 + ... + 136454.

Almost surely, 2^8328913920 is an apocalyptic number.

8328913920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8328913920 is an abundant number, since it is smaller than the sum of its proper divisors (20530715580).

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

8328913920 is a wasteful number, since it uses less digits than its factorization.

8328913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180780 (or 180759 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 8328913920 is about 91262.8835836344. The cubic root of 8328913920 is about 2027.0422049550.

The spelling of 8328913920 in words is "eight billion, three hundred twenty-eight million, nine hundred thirteen thousand, nine hundred twenty".