28507200 has 84 divisors (see below), whose sum is σ = 93543120. Its totient is φ = 7600640.

The previous prime is 28507183. The next prime is 28507217. The reversal of 28507200 is 270582.

It is an interprime number because it is at equal distance from previous prime (28507183) and next prime (28507217).

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 11 ways as a sum of consecutive naturals, for example, 1831 + ... + 7769.

Almost surely, 2^28507200 is an apocalyptic number.

28507200 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 28507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46771560).

28507200 is an abundant number, since it is smaller than the sum of its proper divisors (65035920).

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

28507200 is a wasteful number, since it uses less digits than its factorization.

28507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 28507200 is about 5339.2134252154. The cubic root of 28507200 is about 305.4814576371.

Adding to 28507200 its reverse (270582), we get a palindrome (28777782).

The spelling of 28507200 in words is "twenty-eight million, five hundred seven thousand, two hundred".