28135600 has 60 divisors (see below), whose sum is σ = 69807040. Its totient is φ = 10886400.

The previous prime is 28135573. The next prime is 28135607. The reversal of 28135600 is 653182.

It is a happy number.

It is a super-2 number, since 2×28135600² = 1583223974720000, which contains 22 as substring.

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 (28135607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11266 + ... + 13534.

Almost surely, 2^28135600 is an apocalyptic number.

28135600 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 28135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34903520).

28135600 is an abundant number, since it is smaller than the sum of its proper divisors (41671440).

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

28135600 is a wasteful number, since it uses less digits than its factorization.

28135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 28135600 is about 5304.3001423373. The cubic root of 28135600 is about 304.1483002192.

Adding to 28135600 its reverse (653182), we get a palindrome (28788782).

The spelling of 28135600 in words is "twenty-eight million, one hundred thirty-five thousand, six hundred".