168035328 has 66 divisors (see below), whose sum is σ = 485224974. Its totient is φ = 56008704.

The previous prime is 168035323. The next prime is 168035347. The reversal of 168035328 is 823530861.

It can be written as a sum of positive squares in only one way, i.e., 150994944 + 17040384 = 12288^2 + 4128^2 .

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 = 168035292 and 168035301.

It is not an unprimeable number, because it can be changed into a prime (168035321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100 + ... + 18332.

Almost surely, 2^168035328 is an apocalyptic number.

168035328 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 168035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242612487).

168035328 is an abundant number, since it is smaller than the sum of its proper divisors (317189646).

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

168035328 is a wasteful number, since it uses less digits than its factorization.

168035328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18259 (or 18238 counting only the distinct ones).

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

The square root of 168035328 is about 12962.8441323654. The cubic root of 168035328 is about 551.8235100548.

The spelling of 168035328 in words is "one hundred sixty-eight million, thirty-five thousand, three hundred twenty-eight".