164031328 has 48 divisors (see below), whose sum is σ = 330644160. Its totient is φ = 80078976.

The previous prime is 164031319. The next prime is 164031341. The reversal of 164031328 is 823130461.

164031328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

164031328 is a nontrivial binomial coefficient, being equal to C(18113, 2).

It is a junction number, because it is equal to n+sod(n) for n = 164031296 and 164031305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534151 + ... + 534457.

It is an arithmetic number, because the mean of its divisors is an integer number (6888420).

Almost surely, 2^164031328 is an apocalyptic number.

164031328 is the 18112-nd triangular number.

164031328 is the 6038-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164031328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165322080).

164031328 is an abundant number, since it is smaller than the sum of its proper divisors (166612832).

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

164031328 is a wasteful number, since it uses less digits than its factorization.

164031328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 164031328 is about 12807.4715693614. The cubic root of 164031328 is about 547.4052189577.

Adding to 164031328 its reverse (823130461), we get a palindrome (987161789).

The spelling of 164031328 in words is "one hundred sixty-four million, thirty-one thousand, three hundred twenty-eight".