193969728 has 280 divisors, whose sum is σ = 637300224. Its totient is φ = 58060800.

The previous prime is 193969723. The next prime is 193969747. The reversal of 193969728 is 827969391.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193969723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2731933 + ... + 2732003.

Almost surely, 2^193969728 is an apocalyptic number.

193969728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193969728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318650112).

193969728 is an abundant number, since it is smaller than the sum of its proper divisors (443330496).

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

193969728 is a wasteful number, since it uses less digits than its factorization.

193969728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 193969728 is about 13927.3015333194. The cubic root of 193969728 is about 578.8659250887.

The spelling of 193969728 in words is "one hundred ninety-three million, nine hundred sixty-nine thousand, seven hundred twenty-eight".