320408928 has 144 divisors (see below), whose sum is σ = 1102701600. Its totient is φ = 86151168.

The previous prime is 320408923. The next prime is 320408987. The reversal of 320408928 is 829804023.

320408928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×320408928² = 205323762284218368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 320408892 and 320408901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320408923) 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 23 ways as a sum of consecutive naturals, for example, 29598 + ... + 38946.

It is an arithmetic number, because the mean of its divisors is an integer number (7657650).

Almost surely, 2^320408928 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 320408928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551350800).

320408928 is an abundant number, since it is smaller than the sum of its proper divisors (782292672).

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

320408928 is a wasteful number, since it uses less digits than its factorization.

320408928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9389 (or 9378 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 320408928 is about 17899.9700558409. The cubic root of 320408928 is about 684.2816117519.

The spelling of 320408928 in words is "three hundred twenty million, four hundred eight thousand, nine hundred twenty-eight".