728042112 has 192 divisors, whose sum is σ = 2415441600. Its totient is φ = 206180352.

The previous prime is 728042093. The next prime is 728042141. The reversal of 728042112 is 211240827.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1104439 + ... + 1105097.

It is an arithmetic number, because the mean of its divisors is an integer number (12580425).

Almost surely, 2^728042112 is an apocalyptic number.

728042112 is a gapful number since it is divisible by the number (72) 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 728042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207720800).

728042112 is an abundant number, since it is smaller than the sum of its proper divisors (1687399488).

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

728042112 is a wasteful number, since it uses less digits than its factorization.

728042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 728042112 is about 26982.2555024594. The cubic root of 728042112 is about 899.6056346282.

Adding to 728042112 its reverse (211240827), we get a palindrome (939282939).

The spelling of 728042112 in words is "seven hundred twenty-eight million, forty-two thousand, one hundred twelve".