28485600 has 288 divisors, whose sum is σ = 110242944. Its totient is φ = 6297600.

The previous prime is 28485593. The next prime is 28485601. The reversal of 28485600 is 658482.

It is a super-2 number, since 2×28485600² = 1622858814720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28485601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 343159 + ... + 343241.

It is an arithmetic number, because the mean of its divisors is an integer number (382788).

Almost surely, 2^28485600 is an apocalyptic number.

28485600 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 28485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55121472).

28485600 is an abundant number, since it is smaller than the sum of its proper divisors (81757344).

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

28485600 is a wasteful number, since it uses less digits than its factorization.

28485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 28485600 is about 5337.1902720439. The cubic root of 28485600 is about 305.4042833708.

It can be divided in two parts, 2848 and 5600, that added together give a palindrome (8448).

The spelling of 28485600 in words is "twenty-eight million, four hundred eighty-five thousand, six hundred".