10435628 has 36 divisors (see below), whose sum is σ = 21833280. Its totient is φ = 4348512.

The previous prime is 10435619. The next prime is 10435631. The reversal of 10435628 is 82653401.

It is a self number, because there is not a number n which added to its sum of digits gives 10435628.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6533 + ... + 7971.

It is an arithmetic number, because the mean of its divisors is an integer number (606480).

Almost surely, 2^10435628 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 10435628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10916640).

10435628 is an abundant number, since it is smaller than the sum of its proper divisors (11397652).

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

10435628 is a wasteful number, since it uses less digits than its factorization.

10435628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 10435628 is about 3230.4222634201. The cubic root of 10435628 is about 218.5275498638.

The spelling of 10435628 in words is "ten million, four hundred thirty-five thousand, six hundred twenty-eight".