28987200 has 336 divisors, whose sum is σ = 117165120. Its totient is φ = 6912000.

The previous prime is 28987183. The next prime is 28987207. The reversal of 28987200 is 278982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28987207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475170 + ... + 475230.

Almost surely, 2^28987200 is an apocalyptic number.

28987200 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 28987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58582560).

28987200 is an abundant number, since it is smaller than the sum of its proper divisors (88177920).

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

28987200 is a wasteful number, since it uses less digits than its factorization.

28987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 28987200 is about 5383.9762258019. The cubic root of 28987200 is about 307.1864740138.

The spelling of 28987200 in words is "twenty-eight million, nine hundred eighty-seven thousand, two hundred".