8028832320 has 224 divisors, whose sum is σ = 28502701440. Its totient is φ = 2127513600.

The previous prime is 8028832307. The next prime is 8028832327. The reversal of 8028832320 is 232388208.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8028832327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1405470 + ... + 1411170.

Almost surely, 2^8028832320 is an apocalyptic number.

8028832320 is a gapful number since it is divisible by the number (80) 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 8028832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14251350720).

8028832320 is an abundant number, since it is smaller than the sum of its proper divisors (20473869120).

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

8028832320 is a wasteful number, since it uses less digits than its factorization.

8028832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8028832320 is about 89603.7517071690. The cubic root of 8028832320 is about 2002.3998126313.

The spelling of 8028832320 in words is "eight billion, twenty-eight million, eight hundred thirty-two thousand, three hundred twenty".