164093328 has 60 divisors (see below), whose sum is σ = 524841408. Its totient is φ = 46883520.

The previous prime is 164093311. The next prime is 164093383. The reversal of 164093328 is 823390461.

164093328 is a `hidden beast` number, since 1 + 640 + 9 + 3 + 3 + 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 = 164093292 and 164093301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80388 + ... + 82403.

Almost surely, 2^164093328 is an apocalyptic number.

164093328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164093328 is an abundant number, since it is smaller than the sum of its proper divisors (360748080).

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

164093328 is a wasteful number, since it uses less digits than its factorization.

164093328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162812 (or 162803 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 164093328 is about 12809.8918028218. The cubic root of 164093328 is about 547.4741790537.

It can be divided in two parts, 1640933 and 28, that added together give a square (1640961 = 1281²).

The spelling of 164093328 in words is "one hundred sixty-four million, ninety-three thousand, three hundred twenty-eight".