28368144 has 200 divisors, whose sum is σ = 97225920. Its totient is φ = 7817472.

The previous prime is 28368143. The next prime is 28368149. The reversal of 28368144 is 44186382.

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.

It is a junction number, because it is equal to n+sod(n) for n = 28368099 and 28368108.

It is not an unprimeable number, because it can be changed into a prime (28368143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 480787 + ... + 480845.

Almost surely, 2^28368144 is an apocalyptic number.

28368144 is a gapful number since it is divisible by the number (24) 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 28368144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48612960).

28368144 is an abundant number, since it is smaller than the sum of its proper divisors (68857776).

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

28368144 is a wasteful number, since it uses less digits than its factorization.

28368144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

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

The square root of 28368144 is about 5326.1753632414. The cubic root of 28368144 is about 304.9839425390.

The spelling of 28368144 in words is "twenty-eight million, three hundred sixty-eight thousand, one hundred forty-four".