10628568 has 48 divisors (see below), whose sum is σ = 29463720. Its totient is φ = 3459456.

The previous prime is 10628557. The next prime is 10628573. The reversal of 10628568 is 86582601.

It is a happy number.

It is a super-2 number, since 2×10628568² = 225932915461248, which contains 22 as substring.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1380 + ... + 4812.

Almost surely, 2^10628568 is an apocalyptic number.

10628568 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 10628568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731860).

10628568 is an abundant number, since it is smaller than the sum of its proper divisors (18835152).

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

10628568 is a wasteful number, since it uses less digits than its factorization.

10628568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 10628568 is about 3260.1484628771. The cubic root of 10628568 is about 219.8660893060.

The spelling of 10628568 in words is "ten million, six hundred twenty-eight thousand, five hundred sixty-eight".