163983528 has 120 divisors (see below), whose sum is σ = 485443530. Its totient is φ = 51710400.

The previous prime is 163983527. The next prime is 163983529. The reversal of 163983528 is 825389361.

It is a happy number.

163983528 is a `hidden beast` number, since 1 + 639 + 8 + 3 + 5 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (163983527) and next prime (163983529).

It can be written as a sum of positive squares in only one way, i.e., 112402404 + 51581124 = 10602^2 + 7182^2 .

It is not an unprimeable number, because it can be changed into a prime (163983527) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 233578 + ... + 234278.

Almost surely, 2^163983528 is an apocalyptic number.

163983528 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 163983528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242721765).

163983528 is an abundant number, since it is smaller than the sum of its proper divisors (321460002).

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

163983528 is a wasteful number, since it uses less digits than its factorization.

163983528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 725 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 163983528 is about 12805.6053351648. The cubic root of 163983528 is about 547.3520410844.

The spelling of 163983528 in words is "one hundred sixty-three million, nine hundred eighty-three thousand, five hundred twenty-eight".