28117800 has 192 divisors, whose sum is σ = 99993600. Its totient is φ = 7257600.

The previous prime is 28117783. The next prime is 28117801. The reversal of 28117800 is 871182.

It is a super-2 number, since 2×28117800² = 1581221353680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28117801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 221337 + ... + 221463.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 2^28117800 is an apocalyptic number.

28117800 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 28117800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

28117800 is an abundant number, since it is smaller than the sum of its proper divisors (71875800).

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

28117800 is a wasteful number, since it uses less digits than its factorization.

28117800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 28117800 is about 5302.6219929390. The cubic root of 28117800 is about 304.0841468354.

Adding to 28117800 its reverse (871182), we get a palindrome (28988982).

It can be divided in two parts, 281 and 17800, that added together give a palindrome (18081).

The spelling of 28117800 in words is "twenty-eight million, one hundred seventeen thousand, eight hundred".