28015200 has 144 divisors (see below), whose sum is σ = 101399760. Its totient is φ = 7464960.

The previous prime is 28015193. The next prime is 28015223. The reversal of 28015200 is 251082.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 20952 + ... + 22248.

It is an arithmetic number, because the mean of its divisors is an integer number (704165).

Almost surely, 2^28015200 is an apocalyptic number.

28015200 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 28015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50699880).

28015200 is an abundant number, since it is smaller than the sum of its proper divisors (73384560).

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

28015200 is a wasteful number, since it uses less digits than its factorization.

28015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 28015200 is about 5292.9386922578. The cubic root of 28015200 is about 303.7138350481.

Adding to 28015200 its reverse (251082), we get a palindrome (28266282).

It can be divided in two parts, 2801 and 5200, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 28015200 in words is "twenty-eight million, fifteen thousand, two hundred".