164228328 has 96 divisors (see below), whose sum is σ = 500947200. Its totient is φ = 48153600.

The previous prime is 164228321. The next prime is 164228353. The reversal of 164228328 is 823822461.

164228328 is a `hidden beast` number, since 1 + 642 + 2 + 8 + 3 + 2 + 8 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 164228292 and 164228301.

It is not an unprimeable number, because it can be changed into a prime (164228321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21208 + ... + 27896.

It is an arithmetic number, because the mean of its divisors is an integer number (5218200).

Almost surely, 2^164228328 is an apocalyptic number.

164228328 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 164228328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250473600).

164228328 is an abundant number, since it is smaller than the sum of its proper divisors (336718872).

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

164228328 is a wasteful number, since it uses less digits than its factorization.

164228328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6743 (or 6736 counting only the distinct ones).

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

The square root of 164228328 is about 12815.1600848370. The cubic root of 164228328 is about 547.6242740352.

The spelling of 164228328 in words is "one hundred sixty-four million, two hundred twenty-eight thousand, three hundred twenty-eight".