10628010 has 40 divisors (see below), whose sum is σ = 28579716. Its totient is φ = 2833920.

The previous prime is 10628003. The next prime is 10628017. The reversal of 10628010 is 1082601.

It is an interprime number because it is at equal distance from previous prime (10628003) and next prime (10628017).

It can be written as a sum of positive squares in 2 ways, for example, as 9865881 + 762129 = 3141^2 + 873^2 .

It is a super-2 number, since 2×10628010² = 225909193120200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10628017) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5751 + ... + 7370.

Almost surely, 2^10628010 is an apocalyptic number.

10628010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10628010 is an abundant number, since it is smaller than the sum of its proper divisors (17951706).

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

10628010 is a wasteful number, since it uses less digits than its factorization.

10628010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13140 (or 13131 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10628010 is about 3260.0628828291. The cubic root of 10628010 is about 219.8622415809.

The spelling of 10628010 in words is "ten million, six hundred twenty-eight thousand, ten".