28895200 has 72 divisors (see below), whose sum is σ = 74292120. Its totient is φ = 10944000.

The previous prime is 28895197. The next prime is 28895203. The reversal of 28895200 is 259882.

It is an interprime number because it is at equal distance from previous prime (28895197) and next prime (28895203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28895203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14250 + ... + 16150.

It is an arithmetic number, because the mean of its divisors is an integer number (1031835).

Almost surely, 2^28895200 is an apocalyptic number.

28895200 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 28895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37146060).

28895200 is an abundant number, since it is smaller than the sum of its proper divisors (45396920).

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

28895200 is a wasteful number, since it uses less digits than its factorization.

28895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 28895200 is about 5375.4255645484. The cubic root of 28895200 is about 306.8611452826.

The spelling of 28895200 in words is "twenty-eight million, eight hundred ninety-five thousand, two hundred".