10628768 has 48 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 5034240.

The previous prime is 10628747. The next prime is 10628777. The reversal of 10628768 is 86782601.

It is a super-2 number, since 2×10628768² = 225941418395648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55553 + ... + 55743.

It is an arithmetic number, because the mean of its divisors is an integer number (459648).

Almost surely, 2^10628768 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 10628768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

10628768 is an abundant number, since it is smaller than the sum of its proper divisors (11434336).

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

10628768 is a wasteful number, since it uses less digits than its factorization.

10628768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 10628768 is about 3260.1791361826. The cubic root of 10628768 is about 219.8674683862.

The spelling of 10628768 in words is "ten million, six hundred twenty-eight thousand, seven hundred sixty-eight".