173329728 has 224 divisors, whose sum is σ = 553029120. Its totient is φ = 47216640.

The previous prime is 173329699. The next prime is 173329753. The reversal of 173329728 is 827923371.

It is a self number, because there is not a number n which added to its sum of digits gives 173329728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1619851 + ... + 1619957.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 2^173329728 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 173329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276514560).

173329728 is an abundant number, since it is smaller than the sum of its proper divisors (379699392).

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

173329728 is a wasteful number, since it uses less digits than its factorization.

173329728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 173329728 is about 13165.4748490132. The cubic root of 173329728 is about 557.5592413603.

The spelling of 173329728 in words is "one hundred seventy-three million, three hundred twenty-nine thousand, seven hundred twenty-eight".