192788352 has 96 divisors (see below), whose sum is σ = 569888280. Its totient is φ = 62512128.

The previous prime is 192788339. The next prime is 192788353. The reversal of 192788352 is 253887291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 192788298 and 192788307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192788353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40363 + ... + 44885.

Almost surely, 2^192788352 is an apocalyptic number.

192788352 is a gapful number since it is divisible by the number (12) 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 192788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284944140).

192788352 is an abundant number, since it is smaller than the sum of its proper divisors (377099928).

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

192788352 is a wasteful number, since it uses less digits than its factorization.

192788352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 4565 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 192788352 is about 13884.8245217576. The cubic root of 192788352 is about 577.6883334694.

It can be divided in two parts, 192 and 788352, that added together give a square (788544 = 888²).

The spelling of 192788352 in words is "one hundred ninety-two million, seven hundred eighty-eight thousand, three hundred fifty-two".