192848768 has 128 divisors (see below), whose sum is σ = 465315840. Its totient is φ = 77875200.

The previous prime is 192848759. The next prime is 192848779. The reversal of 192848768 is 867848291.

It is a happy number.

192848768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 13887²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (53).

Its product of digits (1548288) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1472063 + ... + 1472193.

It is an arithmetic number, because the mean of its divisors is an integer number (3635280).

Almost surely, 2^192848768 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 192848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232657920).

192848768 is an abundant number, since it is smaller than the sum of its proper divisors (272467072).

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

192848768 is a wasteful number, since it uses less digits than its factorization.

192848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 53.

The square root of 192848768 is about 13886.9999639951. Note that the first 4 decimals coincide. The cubic root of 192848768 is about 577.7486724764.

The spelling of 192848768 in words is "one hundred ninety-two million, eight hundred forty-eight thousand, seven hundred sixty-eight".