11506628 has 48 divisors (see below), whose sum is σ = 24837120. Its totient is φ = 4554144.

The previous prime is 11506619. The next prime is 11506633. The reversal of 11506628 is 82660511.

11506628 = T₁₁₂ + T₁₁₃ + ... + T₄₁₂.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11506628.

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 15 ways as a sum of consecutive naturals, for example, 22625 + ... + 23127.

It is an arithmetic number, because the mean of its divisors is an integer number (517440).

Almost surely, 2^11506628 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 11506628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418560).

11506628 is an abundant number, since it is smaller than the sum of its proper divisors (13330492).

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

11506628 is a wasteful number, since it uses less digits than its factorization.

11506628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 11506628 is about 3392.1420960803. The cubic root of 11506628 is about 225.7612274470.

The spelling of 11506628 in words is "eleven million, five hundred six thousand, six hundred twenty-eight".