164701728 has 192 divisors, whose sum is σ = 516096000. Its totient is φ = 50948352.

The previous prime is 164701721. The next prime is 164701741. The reversal of 164701728 is 827107461.

164701728 is a `hidden beast` number, since 1 + 647 + 0 + 1 + 7 + 2 + 8 = 666.

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 = 164701692 and 164701701.

It is not an unprimeable number, because it can be changed into a prime (164701721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1296801 + ... + 1296927.

It is an arithmetic number, because the mean of its divisors is an integer number (2688000).

Almost surely, 2^164701728 is an apocalyptic number.

164701728 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 164701728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258048000).

164701728 is an abundant number, since it is smaller than the sum of its proper divisors (351394272).

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

164701728 is a wasteful number, since it uses less digits than its factorization.

164701728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

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

The square root of 164701728 is about 12833.6171050877. The cubic root of 164701728 is about 548.1499580728.

The spelling of 164701728 in words is "one hundred sixty-four million, seven hundred one thousand, seven hundred twenty-eight".