3128768 has 56 divisors (see below), whose sum is σ = 6827520. Its totient is φ = 1416960.

The previous prime is 3128767. The next prime is 3128779. The reversal of 3128768 is 8678213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37655 + ... + 37737.

It is an arithmetic number, because the mean of its divisors is an integer number (121920).

Almost surely, 2^3128768 is an apocalyptic number.

3128768 is a gapful number since it is divisible by the number (38) 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 3128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413760).

3128768 is an abundant number, since it is smaller than the sum of its proper divisors (3698752).

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

3128768 is a wasteful number, since it uses less digits than its factorization.

3128768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 3128768 is about 1768.8323832404. The cubic root of 3128768 is about 146.2596243697.

The spelling of 3128768 in words is "three million, one hundred twenty-eight thousand, seven hundred sixty-eight".