28759200 has 144 divisors (see below), whose sum is σ = 97868736. Its totient is φ = 7321600.

The previous prime is 28759183. The next prime is 28759207. The reversal of 28759200 is 295782.

It is not an unprimeable number, because it can be changed into a prime (28759207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54940 + ... + 55460.

It is an arithmetic number, because the mean of its divisors is an integer number (679644).

Almost surely, 2^28759200 is an apocalyptic number.

28759200 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 28759200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48934368).

28759200 is an abundant number, since it is smaller than the sum of its proper divisors (69109536).

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

28759200 is a wasteful number, since it uses less digits than its factorization.

28759200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 28759200 is about 5362.7604831840. The cubic root of 28759200 is about 306.3789572134.

The spelling of 28759200 in words is "twenty-eight million, seven hundred fifty-nine thousand, two hundred".