28416200 has 48 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 11120960.

The previous prime is 28416173. The next prime is 28416203. The reversal of 28416200 is 261482.

It is not an unprimeable number, because it can be changed into a prime (28416203) 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 11 ways as a sum of consecutive naturals, for example, 7889 + ... + 10911.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^28416200 is an apocalyptic number.

28416200 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 28416200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

28416200 is an abundant number, since it is smaller than the sum of its proper divisors (39079480).

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

28416200 is a wasteful number, since it uses less digits than its factorization.

28416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 28416200 is about 5330.6847590155. The cubic root of 28416200 is about 305.1560609562.

Adding to 28416200 its reverse (261482), we get a palindrome (28677682).

The spelling of 28416200 in words is "twenty-eight million, four hundred sixteen thousand, two hundred".