8480928 has 72 divisors (see below), whose sum is σ = 23411808. Its totient is φ = 2687872.

The previous prime is 8480911. The next prime is 8480929. The reversal of 8480928 is 8290848.

It is a happy number.

It is a super-2 number, since 2×8480928² = 143852279482368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8480929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50701 + ... + 50867.

It is an arithmetic number, because the mean of its divisors is an integer number (325164).

Almost surely, 2^8480928 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 8480928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11705904).

8480928 is an abundant number, since it is smaller than the sum of its proper divisors (14930880).

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

8480928 is a wasteful number, since it uses less digits than its factorization.

8480928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 8480928 is about 2912.2032896074. The cubic root of 8480928 is about 203.9300028979.

The spelling of 8480928 in words is "eight million, four hundred eighty thousand, nine hundred twenty-eight".