28059200 has 168 divisors, whose sum is σ = 79369920. Its totient is φ = 9676800.

The previous prime is 28059193. The next prime is 28059221. The reversal of 28059200 is 295082.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 28059200.

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, 395165 + ... + 395235.

It is an arithmetic number, because the mean of its divisors is an integer number (472440).

Almost surely, 2^28059200 is an apocalyptic number.

28059200 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 28059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39684960).

28059200 is an abundant number, since it is smaller than the sum of its proper divisors (51310720).

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

28059200 is a wasteful number, since it uses less digits than its factorization.

28059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 28059200 is about 5297.0935426892. The cubic root of 28059200 is about 303.8727537631.

The spelling of 28059200 in words is "twenty-eight million, fifty-nine thousand, two hundred".