28795600 has 60 divisors (see below), whose sum is σ = 69726316. Its totient is φ = 11427840.

The previous prime is 28795597. The next prime is 28795633. The reversal of 28795600 is 659782.

It can be written as a sum of positive squares in 6 ways, for example, as 1838736 + 26956864 = 1356^2 + 5192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28795600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77014 + ... + 77386.

Almost surely, 2^28795600 is an apocalyptic number.

28795600 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 28795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34863158).

28795600 is an abundant number, since it is smaller than the sum of its proper divisors (40930716).

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

28795600 is a wasteful number, since it uses less digits than its factorization.

28795600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 28795600 is about 5366.1531845448. The cubic root of 28795600 is about 306.5081621554.

The spelling of 28795600 in words is "twenty-eight million, seven hundred ninety-five thousand, six hundred".