28041600 has 192 divisors, whose sum is σ = 97136640. Its totient is φ = 7096320.

The previous prime is 28041593. The next prime is 28041677. The reversal of 28041600 is 614082.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 220737 + ... + 220863.

It is an arithmetic number, because the mean of its divisors is an integer number (505920).

Almost surely, 2^28041600 is an apocalyptic number.

28041600 is a gapful number since it is divisible by the number (20) 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 28041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568320).

28041600 is an abundant number, since it is smaller than the sum of its proper divisors (69095040).

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

28041600 is a wasteful number, since it uses less digits than its factorization.

28041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

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

The square root of 28041600 is about 5295.4319937093. The cubic root of 28041600 is about 303.8092062272.

Adding to 28041600 its reverse (614082), we get a palindrome (28655682).

The spelling of 28041600 in words is "twenty-eight million, forty-one thousand, six hundred".