320747328 has 336 divisors, whose sum is σ = 1095524352. Its totient is φ = 88704000.

The previous prime is 320747299. The next prime is 320747353. The reversal of 320747328 is 823747023.

320747328 is a `hidden beast` number, since 320 + 7 + 4 + 7 + 328 = 666.

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 = 320747292 and 320747301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4517533 + ... + 4517603.

Almost surely, 2^320747328 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 320747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547762176).

320747328 is an abundant number, since it is smaller than the sum of its proper divisors (774777024).

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

320747328 is a wasteful number, since it uses less digits than its factorization.

320747328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 320747328 is about 17909.4200911141. The cubic root of 320747328 is about 684.5224284125.

The spelling of 320747328 in words is "three hundred twenty million, seven hundred forty-seven thousand, three hundred twenty-eight".