10628740 has 48 divisors (see below), whose sum is σ = 24216192. Its totient is φ = 3902976.

The previous prime is 10628729. The next prime is 10628747. The reversal of 10628740 is 4782601.

It is a super-2 number, since 2×10628740² = 225940227975200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10628699 and 10628708.

It is not an unprimeable number, because it can be changed into a prime (10628747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14257 + ... + 14983.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 2^10628740 is an apocalyptic number.

10628740 is a gapful number since it is divisible by the number (10) 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 10628740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108096).

10628740 is an abundant number, since it is smaller than the sum of its proper divisors (13587452).

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

10628740 is a wasteful number, since it uses less digits than its factorization.

10628740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 10628740 is about 3260.1748419372. The cubic root of 10628740 is about 219.8672753160.

The spelling of 10628740 in words is "ten million, six hundred twenty-eight thousand, seven hundred forty".