10508628 has 96 divisors (see below), whose sum is σ = 28449792. Its totient is φ = 2995200.

The previous prime is 10508623. The next prime is 10508633. The reversal of 10508628 is 82680501.

It is an interprime number because it is at equal distance from previous prime (10508623) and next prime (10508633).

It is a super-2 number, since 2×10508628² = 220862524884768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10508595 and 10508604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10508621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198250 + ... + 198302.

It is an arithmetic number, because the mean of its divisors is an integer number (296352).

Almost surely, 2^10508628 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 10508628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224896).

10508628 is an abundant number, since it is smaller than the sum of its proper divisors (17941164).

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

10508628 is a wasteful number, since it uses less digits than its factorization.

10508628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 10508628 is about 3241.7014051266. The cubic root of 10508628 is about 219.0359191308.

The spelling of 10508628 in words is "ten million, five hundred eight thousand, six hundred twenty-eight".