28233600 has 192 divisors, whose sum is σ = 99033840. Its totient is φ = 7045120.

The previous prime is 28233589. The next prime is 28233607. The reversal of 28233600 is 633282.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28233607) 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 23 ways as a sum of consecutive naturals, for example, 163114 + ... + 163286.

Almost surely, 2^28233600 is an apocalyptic number.

28233600 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 28233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49516920).

28233600 is an abundant number, since it is smaller than the sum of its proper divisors (70800240).

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

28233600 is a wasteful number, since it uses less digits than its factorization.

28233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 28233600 is about 5313.5299001699. The cubic root of 28233600 is about 304.5010205396.

Adding to 28233600 its reverse (633282), we get a palindrome (28866882).

The spelling of 28233600 in words is "twenty-eight million, two hundred thirty-three thousand, six hundred".