28345600 has 108 divisors (see below), whose sum is σ = 72488416. Its totient is φ = 10967040.

The previous prime is 28345571. The next prime is 28345601. The reversal of 28345600 is 654382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28345601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275149 + ... + 275251.

Almost surely, 2^28345600 is an apocalyptic number.

28345600 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 28345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36244208).

28345600 is an abundant number, since it is smaller than the sum of its proper divisors (44142816).

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

28345600 is a wasteful number, since it uses less digits than its factorization.

28345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 28345600 is about 5324.0586022319. The cubic root of 28345600 is about 304.9031314700.

Adding to 28345600 its reverse (654382), we get a palindrome (28999982).

The spelling of 28345600 in words is "twenty-eight million, three hundred forty-five thousand, six hundred".