164336928 has 192 divisors, whose sum is σ = 529966080. Its totient is φ = 43545600.

The previous prime is 164336911. The next prime is 164336993. The reversal of 164336928 is 829633461.

164336928 is nontrivially palindromic in base 11.

164336928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 164336928.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778743 + ... + 778953.

It is an arithmetic number, because the mean of its divisors is an integer number (2760240).

Almost surely, 2^164336928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164336928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264983040).

164336928 is an abundant number, since it is smaller than the sum of its proper divisors (365629152).

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

164336928 is a wasteful number, since it uses less digits than its factorization.

164336928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 164336928 is about 12819.3965536604. The cubic root of 164336928 is about 547.7449574207.

The spelling of 164336928 in words is "one hundred sixty-four million, three hundred thirty-six thousand, nine hundred twenty-eight".