8320928 has 72 divisors (see below), whose sum is σ = 20645856. Its totient is φ = 3231360.

The previous prime is 8320919. The next prime is 8320943. The reversal of 8320928 is 8290238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 8320894 and 8320903.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26951 + ... + 27257.

It is an arithmetic number, because the mean of its divisors is an integer number (286748).

Almost surely, 2^8320928 is an apocalyptic number.

8320928 is a gapful number since it is divisible by the number (88) 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 8320928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10322928).

8320928 is an abundant number, since it is smaller than the sum of its proper divisors (12324928).

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

8320928 is a wasteful number, since it uses less digits than its factorization.

8320928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 8320928 is about 2884.6018789427. The cubic root of 8320928 is about 202.6394142334.

The spelling of 8320928 in words is "eight million, three hundred twenty thousand, nine hundred twenty-eight".