10136628 has 54 divisors (see below), whose sum is σ = 26566722. Its totient is φ = 3258720.

The previous prime is 10136627. The next prime is 10136639. The reversal of 10136628 is 82663101.

10136628 is a `hidden beast` number, since 1 + 0 + 1 + 36 + 628 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9998244 + 138384 = 3162^2 + 372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10136627) 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 17 ways as a sum of consecutive naturals, for example, 34450 + ... + 34742.

Almost surely, 2^10136628 is an apocalyptic number.

10136628 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 10136628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13283361).

10136628 is an abundant number, since it is smaller than the sum of its proper divisors (16430094).

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

10136628 is a wasteful number, since it uses less digits than its factorization.

10136628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10136628 is about 3183.8071549640. The cubic root of 10136628 is about 216.4202210380.

Adding to 10136628 its reverse (82663101), we get a palindrome (92799729).

The spelling of 10136628 in words is "ten million, one hundred thirty-six thousand, six hundred twenty-eight".