28249200 has 360 divisors, whose sum is σ = 119932800. Its totient is φ = 6013440.

The previous prime is 28249187. The next prime is 28249229. The reversal of 28249200 is 294282.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478771 + ... + 478829.

Almost surely, 2^28249200 is an apocalyptic number.

28249200 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 28249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59966400).

28249200 is an abundant number, since it is smaller than the sum of its proper divisors (91683600).

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

28249200 is a wasteful number, since it uses less digits than its factorization.

28249200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28249200 is about 5314.9976481650. The cubic root of 28249200 is about 304.5570925165.

The spelling of 28249200 in words is "twenty-eight million, two hundred forty-nine thousand, two hundred".