28180800 has 252 divisors, whose sum is σ = 106456480. Its totient is φ = 7050240.

The previous prime is 28180787. The next prime is 28180807. The reversal of 28180800 is 808182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28180807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273549 + ... + 273651.

Almost surely, 2^28180800 is an apocalyptic number.

28180800 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 28180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53228240).

28180800 is an abundant number, since it is smaller than the sum of its proper divisors (78275680).

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

28180800 is a wasteful number, since it uses less digits than its factorization.

28180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 28180800 is about 5308.5591265427. The cubic root of 28180800 is about 304.3110850649.

Adding to 28180800 its reverse (808182), we get a palindrome (28988982).

The spelling of 28180800 in words is "twenty-eight million, one hundred eighty thousand, eight hundred".