163085328 has 180 divisors, whose sum is σ = 549925740. Its totient is φ = 44932608.

The previous prime is 163085323. The next prime is 163085333. The reversal of 163085328 is 823580361.

It is an interprime number because it is at equal distance from previous prime (163085323) and next prime (163085333).

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 80784144 = 9072^2 + 8988^2 .

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 = 163085292 and 163085301.

It is not an unprimeable number, because it can be changed into a prime (163085323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204226 + ... + 205022.

It is an arithmetic number, because the mean of its divisors is an integer number (3055143).

Almost surely, 2^163085328 is an apocalyptic number.

163085328 is a gapful number since it is divisible by the number (18) 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 163085328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274962870).

163085328 is an abundant number, since it is smaller than the sum of its proper divisors (386840412).

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

163085328 is a wasteful number, since it uses less digits than its factorization.

163085328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 163085328 is about 12770.4865999695. The cubic root of 163085328 is about 546.3508593023.

The spelling of 163085328 in words is "one hundred sixty-three million, eighty-five thousand, three hundred twenty-eight".