193728080 has 240 divisors, whose sum is σ = 588176640. Its totient is φ = 57987072.

The previous prime is 193728077. The next prime is 193728089. The reversal of 193728080 is 80827391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193728089) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2176676 + ... + 2176764.

It is an arithmetic number, because the mean of its divisors is an integer number (2450736).

Almost surely, 2^193728080 is an apocalyptic number.

193728080 is a gapful number since it is divisible by the number (10) 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 193728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294088320).

193728080 is an abundant number, since it is smaller than the sum of its proper divisors (394448560).

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

193728080 is a wasteful number, since it uses less digits than its factorization.

193728080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 193728080 is about 13918.6234951593. The cubic root of 193728080 is about 578.6254409624.

The spelling of 193728080 in words is "one hundred ninety-three million, seven hundred twenty-eight thousand, eighty".