28525200 has 120 divisors (see below), whose sum is σ = 99728736. Its totient is φ = 6912000.

The previous prime is 28525157. The next prime is 28525219. The reversal of 28525200 is 252582.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12120 + ... + 14280.

Almost surely, 2^28525200 is an apocalyptic number.

28525200 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 28525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49864368).

28525200 is an abundant number, since it is smaller than the sum of its proper divisors (71203536).

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

28525200 is a wasteful number, since it uses less digits than its factorization.

28525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 28525200 is about 5340.8988007638. The cubic root of 28525200 is about 305.5457397520.

Adding to 28525200 its reverse (252582), we get a palindrome (28777782).

The spelling of 28525200 in words is "twenty-eight million, five hundred twenty-five thousand, two hundred".