11628000 has 288 divisors, whose sum is σ = 45995040. Its totient is φ = 2764800.

The previous prime is 11627989. The next prime is 11628013. The reversal of 11628000 is 82611.

11628000 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 tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611991 + ... + 612009.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 2^11628000 is an apocalyptic number.

11628000 is a gapful number since it is divisible by the number (10) 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 11628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22997520).

11628000 is an abundant number, since it is smaller than the sum of its proper divisors (34367040).

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

11628000 is a wasteful number, since it uses less digits than its factorization.

11628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

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

The square root of 11628000 is about 3409.9853372119. The cubic root of 11628000 is about 226.5522298159.

The spelling of 11628000 in words is "eleven million, six hundred twenty-eight thousand".