164431728 has 40 divisors (see below), whose sum is σ = 471981200. Its totient is φ = 54810432.

The previous prime is 164431721. The next prime is 164431741. The reversal of 164431728 is 827134461.

164431728 is a `hidden beast` number, since 1 + 644 + 3 + 1 + 7 + 2 + 8 = 666.

164431728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164431728³ (a number of 26 digits) contains 333 as substring.

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 = 164431692 and 164431701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164431721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189883 + ... + 190746.

It is an arithmetic number, because the mean of its divisors is an integer number (11799530).

Almost surely, 2^164431728 is an apocalyptic number.

164431728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164431728 is an abundant number, since it is smaller than the sum of its proper divisors (307549472).

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

164431728 is a wasteful number, since it uses less digits than its factorization.

164431728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380646 (or 380634 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 164431728 is about 12823.0935425115. The cubic root of 164431728 is about 547.8502618928.

The spelling of 164431728 in words is "one hundred sixty-four million, four hundred thirty-one thousand, seven hundred twenty-eight".