28745200 has 120 divisors (see below), whose sum is σ = 77495040. Its totient is φ = 10156800.

The previous prime is 28745191. The next prime is 28745201. The reversal of 28745200 is 254782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28745201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206731 + ... + 206869.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 2^28745200 is an apocalyptic number.

28745200 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 28745200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38747520).

28745200 is an abundant number, since it is smaller than the sum of its proper divisors (48749840).

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

28745200 is a wasteful number, since it uses less digits than its factorization.

28745200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 28745200 is about 5361.4550263898. The cubic root of 28745200 is about 306.3292339759.

Adding to 28745200 its reverse (254782), we get a palindrome (28999982).

The spelling of 28745200 in words is "twenty-eight million, seven hundred forty-five thousand, two hundred".