328451328 has 288 divisors, whose sum is σ = 1064515200. Its totient is φ = 99532800.

The previous prime is 328451317. The next prime is 328451351. The reversal of 328451328 is 823154823.

328451328 is a `hidden beast` number, since 3 + 284 + 51 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 328451292 and 328451301.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5384418 + ... + 5384478.

Almost surely, 2^328451328 is an apocalyptic number.

328451328 is a gapful number since it is divisible by the number (38) 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 328451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532257600).

328451328 is an abundant number, since it is smaller than the sum of its proper divisors (736063872).

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

328451328 is a wasteful number, since it uses less digits than its factorization.

328451328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 328451328 is about 18123.2262028591. The cubic root of 328451328 is about 689.9596195651.

The spelling of 328451328 in words is "three hundred twenty-eight million, four hundred fifty-one thousand, three hundred twenty-eight".