28681344 has 128 divisors (see below), whose sum is σ = 87067200. Its totient is φ = 9289728.

The previous prime is 28681343. The next prime is 28681351. The reversal of 28681344 is 44318682.

It is a tau number, because it is divible by the number of its divisors (128).

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 nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 28681299 and 28681308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28681343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148512 + ... + 148704.

Almost surely, 2^28681344 is an apocalyptic number.

28681344 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 28681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43533600).

28681344 is an abundant number, since it is smaller than the sum of its proper divisors (58385856).

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

28681344 is a wasteful number, since it uses less digits than its factorization.

28681344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

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

The square root of 28681344 is about 5355.4966156277. The cubic root of 28681344 is about 306.1022341982.

The spelling of 28681344 in words is "twenty-eight million, six hundred eighty-one thousand, three hundred forty-four".