11628084 has 48 divisors (see below), whose sum is σ = 29494080. Its totient is φ = 3544320.

The previous prime is 11628083. The next prime is 11628121. The reversal of 11628084 is 48082611.

11628084 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11628084² = 270424675022112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11628083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20152 + ... + 20720.

It is an arithmetic number, because the mean of its divisors is an integer number (614460).

Almost surely, 2^11628084 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 11628084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747040).

11628084 is an abundant number, since it is smaller than the sum of its proper divisors (17865996).

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

11628084 is a wasteful number, since it uses less digits than its factorization.

11628084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 11628084 is about 3409.9976539581. The cubic root of 11628084 is about 226.5527753480.

The spelling of 11628084 in words is "eleven million, six hundred twenty-eight thousand, eighty-four".