22328416 has 48 divisors (see below), whose sum is σ = 48338640. Its totient is φ = 10068480.

The previous prime is 22328413. The next prime is 22328419. The reversal of 22328416 is 61482322.

It is an interprime number because it is at equal distance from previous prime (22328413) and next prime (22328419).

It is a super-3 number, since 3×22328416³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22328413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80470 + ... + 80746.

It is an arithmetic number, because the mean of its divisors is an integer number (1007055).

Almost surely, 2^22328416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22328416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24169320).

22328416 is an abundant number, since it is smaller than the sum of its proper divisors (26010224).

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

22328416 is a wasteful number, since it uses less digits than its factorization.

22328416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 22328416 is about 4725.2953346854. The cubic root of 22328416 is about 281.5913467985.

It can be divided in two parts, 2232 and 8416, that added together give a cube (10648 = 22³).

The spelling of 22328416 in words is "twenty-two million, three hundred twenty-eight thousand, four hundred sixteen".