328484160 has 560 divisors, whose sum is σ = 1327708800. Its totient is φ = 76640256.

The previous prime is 328484119. The next prime is 328484161. The reversal of 328484160 is 61484823.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328484161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11327026 + ... + 11327054.

Almost surely, 2^328484160 is an apocalyptic number.

328484160 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 328484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663854400).

328484160 is an abundant number, since it is smaller than the sum of its proper divisors (999224640).

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

328484160 is a wasteful number, since it uses less digits than its factorization.

328484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 328484160 is about 18124.1319792149. The cubic root of 328484160 is about 689.9826082573.

The spelling of 328484160 in words is "three hundred twenty-eight million, four hundred eighty-four thousand, one hundred sixty".