28849200 has 120 divisors (see below), whose sum is σ = 95715600. Its totient is φ = 7418880.

The previous prime is 28849181. The next prime is 28849241. The reversal of 28849200 is 294882.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34386 + ... + 35214.

It is an arithmetic number, because the mean of its divisors is an integer number (797630).

Almost surely, 2^28849200 is an apocalyptic number.

28849200 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 28849200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47857800).

28849200 is an abundant number, since it is smaller than the sum of its proper divisors (66866400).

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

28849200 is a wasteful number, since it uses less digits than its factorization.

28849200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 28849200 is about 5371.1451292997. The cubic root of 28849200 is about 306.6982219157.

The spelling of 28849200 in words is "twenty-eight million, eight hundred forty-nine thousand, two hundred".