192205728 has 216 divisors, whose sum is σ = 647468640. Its totient is φ = 53614080.

The previous prime is 192205721. The next prime is 192205747. The reversal of 192205728 is 827502291.

192205728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 192205692 and 192205701.

It is not an unprimeable number, because it can be changed into a prime (192205721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535213 + ... + 535571.

It is an arithmetic number, because the mean of its divisors is an integer number (2997540).

Almost surely, 2^192205728 is an apocalyptic number.

192205728 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 192205728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323734320).

192205728 is an abundant number, since it is smaller than the sum of its proper divisors (455262912).

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

192205728 is a wasteful number, since it uses less digits than its factorization.

192205728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 192205728 is about 13863.8280427882. The cubic root of 192205728 is about 577.1058039614.

The spelling of 192205728 in words is "one hundred ninety-two million, two hundred five thousand, seven hundred twenty-eight".