11628 has 36 divisors (see below), whose sum is σ = 32760. Its totient is φ = 3456.

The previous prime is 11621. The next prime is 11633. The reversal of 11628 is 82611.

11628 is a nontrivial binomial coefficient, being equal to C(153, 2), and to C(19, 5).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 11628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11621) by changing a digit.

11628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 603 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (910).

2¹¹⁶²⁸ is an apocalyptic number.

11628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11628 is the 152-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380).

11628 is an abundant number, since it is smaller than the sum of its proper divisors (21132).

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

11628 is a wasteful number, since it uses less digits than its factorization.

11628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 41 counting only the distinct ones).

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

The square root of 11628 is about 107.8332045337. The cubic root of 11628 is about 22.6552229816.

11628 divided by its sum of digits (18) gives a palindrome (646).

It can be divided in two parts, 116 and 28, that added together give a square (144 = 12²).

The spelling of 11628 in words is "eleven thousand, six hundred twenty-eight".