21828960 has 192 divisors, whose sum is σ = 79349760. Its totient is φ = 5598720.

The previous prime is 21828949. The next prime is 21828973. The reversal of 21828960 is 6982812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133839 + ... + 134001.

It is an arithmetic number, because the mean of its divisors is an integer number (413280).

Almost surely, 2^21828960 is an apocalyptic number.

21828960 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 21828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39674880).

21828960 is an abundant number, since it is smaller than the sum of its proper divisors (57520800).

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

21828960 is a wasteful number, since it uses less digits than its factorization.

21828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 21828960 is about 4672.1472579532. The cubic root of 21828960 is about 279.4758903213.

The spelling of 21828960 in words is "twenty-one million, eight hundred twenty-eight thousand, nine hundred sixty".