21919128 has 128 divisors (see below), whose sum is σ = 70848000. Its totient is φ = 5483520.

The previous prime is 21919127. The next prime is 21919129. The reversal of 21919128 is 82191912.

It is an interprime number because it is at equal distance from previous prime (21919127) and next prime (21919129).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21919123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53388 + ... + 53796.

It is an arithmetic number, because the mean of its divisors is an integer number (553500).

Almost surely, 2^21919128 is an apocalyptic number.

21919128 is a gapful number since it is divisible by the number (28) 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 21919128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35424000).

21919128 is an abundant number, since it is smaller than the sum of its proper divisors (48928872).

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

21919128 is a wasteful number, since it uses less digits than its factorization.

21919128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its digits is 2592, while the sum is 33.

The square root of 21919128 is about 4681.7868383770. The cubic root of 21919128 is about 279.8601682750.

The spelling of 21919128 in words is "twenty-one million, nine hundred nineteen thousand, one hundred twenty-eight".