28348416 has 78 divisors (see below), whose sum is σ = 81991910. Its totient is φ = 9437184.

The previous prime is 28348403. The next prime is 28348421. The reversal of 28348416 is 61484382.

It can be written as a sum of positive squares in only one way, i.e., 23040000 + 5308416 = 4800^2 + 2304^2 .

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

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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36480 + ... + 37248.

Almost surely, 2^28348416 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 28348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40995955).

28348416 is an abundant number, since it is smaller than the sum of its proper divisors (53643494).

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

28348416 is an equidigital number, since it uses as much as digits as its factorization.

28348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 774 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 28348416 is about 5324.3230555630. The cubic root of 28348416 is about 304.9132280257.

The spelling of 28348416 in words is "twenty-eight million, three hundred forty-eight thousand, four hundred sixteen".