164017728 has 168 divisors, whose sum is σ = 565830720. Its totient is φ = 44375040.

The previous prime is 164017691. The next prime is 164017729. The reversal of 164017728 is 827710461.

164017728 is a `hidden beast` number, since 1 + 640 + 1 + 7 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 164017692 and 164017701.

It is not an unprimeable number, because it can be changed into a prime (164017729) 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, 75538 + ... + 77678.

It is an arithmetic number, because the mean of its divisors is an integer number (3368040).

Almost surely, 2^164017728 is an apocalyptic number.

164017728 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 164017728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282915360).

164017728 is an abundant number, since it is smaller than the sum of its proper divisors (401812992).

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

164017728 is a wasteful number, since it uses less digits than its factorization.

164017728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 164017728 is about 12806.9406182741. The cubic root of 164017728 is about 547.3900899031.

The spelling of 164017728 in words is "one hundred sixty-four million, seventeen thousand, seven hundred twenty-eight".