328416000 has 288 divisors, whose sum is σ = 1193826816. Its totient is φ = 79360000.

The previous prime is 328415987. The next prime is 328416001. The reversal of 328416000 is 614823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (328416001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055845 + ... + 1056155.

It is an arithmetic number, because the mean of its divisors is an integer number (4145232).

Almost surely, 2^328416000 is an apocalyptic number.

328416000 is a gapful number since it is divisible by the number (30) 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 328416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596913408).

328416000 is an abundant number, since it is smaller than the sum of its proper divisors (865410816).

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

328416000 is a wasteful number, since it uses less digits than its factorization.

328416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 328416000 is about 18122.2515157472. The cubic root of 328416000 is about 689.9348814833.

It can be divided in two parts, 328 and 416000, that added together give a triangular number (416328 = T₉₁₂).

The spelling of 328416000 in words is "three hundred twenty-eight million, four hundred sixteen thousand".