28352600 has 96 divisors (see below), whose sum is σ = 72316800. Its totient is φ = 10291200.

The previous prime is 28352581. The next prime is 28352603. The reversal of 28352600 is 625382.

It is a self number, because there is not a number n which added to its sum of digits gives 28352600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28352603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105266 + ... + 105534.

It is an arithmetic number, because the mean of its divisors is an integer number (753300).

Almost surely, 2^28352600 is an apocalyptic number.

28352600 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 28352600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36158400).

28352600 is an abundant number, since it is smaller than the sum of its proper divisors (43964200).

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

28352600 is a wasteful number, since it uses less digits than its factorization.

28352600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 28352600 is about 5324.7159548656. The cubic root of 28352600 is about 304.9282282076.

Adding to 28352600 its reverse (625382), we get a palindrome (28977982).

The spelling of 28352600 in words is "twenty-eight million, three hundred fifty-two thousand, six hundred".