28152800 has 72 divisors (see below), whose sum is σ = 74042136. Its totient is φ = 10391040.

The previous prime is 28152793. The next prime is 28152829. The reversal of 28152800 is 825182.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 28152800.

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 11 ways as a sum of consecutive naturals, for example, 9047 + ... + 11753.

It is an arithmetic number, because the mean of its divisors is an integer number (1028363).

Almost surely, 2^28152800 is an apocalyptic number.

28152800 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 28152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37021068).

28152800 is an abundant number, since it is smaller than the sum of its proper divisors (45889336).

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

28152800 is a wasteful number, since it uses less digits than its factorization.

28152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 28152800 is about 5305.9212206741. The cubic root of 28152800 is about 304.2102654294.

Adding to 28152800 its reverse (825182), we get a palindrome (28977982).

The spelling of 28152800 in words is "twenty-eight million, one hundred fifty-two thousand, eight hundred".