28504800 has 216 divisors, whose sum is σ = 104196456. Its totient is φ = 7326720.

The previous prime is 28504793. The next prime is 28504871. The reversal of 28504800 is 840582.

It is a congruent number.

It is an unprimeable number.

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, 266347 + ... + 266453.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 2^28504800 is an apocalyptic number.

28504800 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 28504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52098228).

28504800 is an abundant number, since it is smaller than the sum of its proper divisors (75691656).

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

28504800 is a wasteful number, since it uses less digits than its factorization.

28504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 28504800 is about 5338.9886682779. The cubic root of 28504800 is about 305.4728846441.

The spelling of 28504800 in words is "twenty-eight million, five hundred four thousand, eight hundred".