193888768 has 60 divisors (see below), whose sum is σ = 409251150. Its totient is φ = 91754496.

The previous prime is 193888759. The next prime is 193888801. The reversal of 193888768 is 867888391.

It can be written as a sum of positive squares in only one way, i.e., 126517504 + 67371264 = 11248^2 + 8208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184308 + ... + 185356.

Almost surely, 2^193888768 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 193888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204625575).

193888768 is an abundant number, since it is smaller than the sum of its proper divisors (215362382).

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

193888768 is an equidigital number, since it uses as much as digits as its factorization.

193888768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1070 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 58.

The square root of 193888768 is about 13924.3947085681. The cubic root of 193888768 is about 578.7853772844.

The spelling of 193888768 in words is "one hundred ninety-three million, eight hundred eighty-eight thousand, seven hundred sixty-eight".