28605600 has 216 divisors, whose sum is σ = 105110460. Its totient is φ = 7311360.

The previous prime is 28605593. The next prime is 28605601. The reversal of 28605600 is 650682.

It can be written as a sum of positive squares in 6 ways, for example, as 11861136 + 16744464 = 3444^2 + 4092^2 .

It is not an unprimeable number, because it can be changed into a prime (28605601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208732 + ... + 208868.

Almost surely, 2^28605600 is an apocalyptic number.

28605600 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 28605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52555230).

28605600 is an abundant number, since it is smaller than the sum of its proper divisors (76504860).

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

28605600 is a wasteful number, since it uses less digits than its factorization.

28605600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 28605600 is about 5348.4203275360. The cubic root of 28605600 is about 305.8325368462.

The spelling of 28605600 in words is "twenty-eight million, six hundred five thousand, six hundred".