10768128 has 72 divisors (see below), whose sum is σ = 32769408. Its totient is φ = 3075072.

The previous prime is 10768127. The next prime is 10768133. The reversal of 10768128 is 82186701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10768127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4375 + ... + 6377.

Almost surely, 2^10768128 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 10768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384704).

10768128 is an abundant number, since it is smaller than the sum of its proper divisors (22001280).

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

10768128 is an equidigital number, since it uses as much as digits as its factorization.

10768128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 10768128 is about 3281.4825917564. The cubic root of 10768128 is about 220.8242359450.

The spelling of 10768128 in words is "ten million, seven hundred sixty-eight thousand, one hundred twenty-eight".