328163616 has 288 divisors, whose sum is σ = 1091280960. Its totient is φ = 95800320.

The previous prime is 328163603. The next prime is 328163617. The reversal of 328163616 is 616361823.

328163616 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 636 + 16 = 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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (328163617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4495356 + ... + 4495428.

It is an arithmetic number, because the mean of its divisors is an integer number (3789170).

Almost surely, 2^328163616 is an apocalyptic number.

328163616 is a gapful number since it is divisible by the number (36) 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 328163616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545640480).

328163616 is an abundant number, since it is smaller than the sum of its proper divisors (763117344).

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

328163616 is a wasteful number, since it uses less digits than its factorization.

328163616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 328163616 is about 18115.2868042435. The cubic root of 328163616 is about 689.7581004602.

The spelling of 328163616 in words is "three hundred twenty-eight million, one hundred sixty-three thousand, six hundred sixteen".