28416 has 36 divisors (see below), whose sum is σ = 77672. Its totient is φ = 9216.

The previous prime is 28411. The next prime is 28429. The reversal of 28416 is 61482.

Adding to 28416 its reverse (61482), we get a palindrome (89898).

It can be divided in two parts, 284 and 16, that added together give a triangular number (300 = T_{24}).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 28392 and 28401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28411) by changing a digit.

28416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 750 + ... + 786.

2^{28416} 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 28416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38836).

28416 is an abundant number, since it is smaller than the sum of its proper divisors (49256).

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

28416 is an equidigital number, since it uses as much as digits as its factorization.

28416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 42 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 28416 is about 168.5704600456. The cubic root of 28416 is about 30.5155345034.

The spelling of 28416 in words is "twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 9472 14208 28416

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