28355382 has 72 divisors (see below), whose sum is σ = 69215328. Its totient is φ = 8379360.

The previous prime is 28355381. The next prime is 28355387.

28355382 is a `hidden beast` number, since 28 + 3 + 553 + 82 = 666.

28355382 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28355381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102228 + ... + 102504.

It is an arithmetic number, because the mean of its divisors is an integer number (961324).

Almost surely, 2^28355382 is an apocalyptic number.

28355382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28355382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34607664).

28355382 is an abundant number, since it is smaller than the sum of its proper divisors (40859946).

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

28355382 is a wasteful number, since it uses less digits than its factorization.

28355382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 28355382 is about 5324.9771830497. The cubic root of 28355382 is about 304.9382012211.

The spelling of 28355382 in words is "twenty-eight million, three hundred fifty-five thousand, three hundred eighty-two".