28267200 has 252 divisors, whose sum is σ = 108913168. Its totient is φ = 6912000.

The previous prime is 28267189. The next prime is 28267219. The reversal of 28267200 is 276282.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187125 + ... + 187275.

Almost surely, 2^28267200 is an apocalyptic number.

28267200 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 28267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54456584).

28267200 is an abundant number, since it is smaller than the sum of its proper divisors (80645968).

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

28267200 is a wasteful number, since it uses less digits than its factorization.

28267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28267200 is about 5316.6907000502. The cubic root of 28267200 is about 304.6217653063.

The spelling of 28267200 in words is "twenty-eight million, two hundred sixty-seven thousand, two hundred".