22361328 has 120 divisors (see below), whose sum is σ = 71959680. Its totient is φ = 6410880.

The previous prime is 22361321. The next prime is 22361329. The reversal of 22361328 is 82316322.

22361328 is a `hidden beast` number, since 2 + 23 + 613 + 28 = 666.

22361328 is a nontrivial binomial coefficient, being equal to C(6688, 2).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22361321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29725 + ... + 30467.

It is an arithmetic number, because the mean of its divisors is an integer number (599664).

Almost surely, 2^22361328 is an apocalyptic number.

22361328 is the 6687-th triangular number and also the 3344-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22361328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35979840).

22361328 is an abundant number, since it is smaller than the sum of its proper divisors (49598352).

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

22361328 is a wasteful number, since it uses less digits than its factorization.

22361328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 778 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 22361328 is about 4728.7765859681. The cubic root of 22361328 is about 281.7296337329.

The spelling of 22361328 in words is "twenty-two million, three hundred sixty-one thousand, three hundred twenty-eight".