28045600 has 72 divisors (see below), whose sum is σ = 74713968. Its totient is φ = 10195200.

The previous prime is 28045573. The next prime is 28045609. The reversal of 28045600 is 654082.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (28045609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7207 + ... + 10393.

It is an arithmetic number, because the mean of its divisors is an integer number (1037694).

Almost surely, 2^28045600 is an apocalyptic number.

28045600 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 28045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37356984).

28045600 is an abundant number, since it is smaller than the sum of its proper divisors (46668368).

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

28045600 is a wasteful number, since it uses less digits than its factorization.

28045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 28045600 is about 5295.8096642534. The cubic root of 28045600 is about 303.8236511834.

Adding to 28045600 its reverse (654082), we get a palindrome (28699682).

The spelling of 28045600 in words is "twenty-eight million, forty-five thousand, six hundred".