28105200 has 180 divisors, whose sum is σ = 100643608. Its totient is φ = 7257600.

The previous prime is 28105183. The next prime is 28105229. The reversal of 28105200 is 250182.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133095 + ... + 133305.

Almost surely, 2^28105200 is an apocalyptic number.

28105200 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 28105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50321804).

28105200 is an abundant number, since it is smaller than the sum of its proper divisors (72538408).

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

28105200 is a wasteful number, since it uses less digits than its factorization.

28105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 28105200 is about 5301.4337683310. The cubic root of 28105200 is about 304.0387185218.

Adding to 28105200 its reverse (250182), we get a palindrome (28355382).

The spelling of 28105200 in words is "twenty-eight million, one hundred five thousand, two hundred".