21628000 has 48 divisors (see below), whose sum is σ = 53149824. Its totient is φ = 8649600.

The previous prime is 21627967. The next prime is 21628001. The reversal of 21628000 is 82612.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21628001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1297 + ... + 6703.

It is an arithmetic number, because the mean of its divisors is an integer number (1107288).

Almost surely, 2^21628000 is an apocalyptic number.

21628000 is a gapful number since it is divisible by the number (20) 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 21628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26574912).

21628000 is an abundant number, since it is smaller than the sum of its proper divisors (31521824).

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

21628000 is an equidigital number, since it uses as much as digits as its factorization.

21628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 21628000 is about 4650.5913602466. The cubic root of 21628000 is about 278.6156155448.

The spelling of 21628000 in words is "twenty-one million, six hundred twenty-eight thousand".