28102800 has 120 divisors (see below), whose sum is σ = 98252640. Its totient is φ = 6809600.

The previous prime is 28102793. The next prime is 28102807. The reversal of 28102800 is 820182.

It is an interprime number because it is at equal distance from previous prime (28102793) and next prime (28102807).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28102807) 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, 12136 + ... + 14264.

It is an arithmetic number, because the mean of its divisors is an integer number (818772).

Almost surely, 2^28102800 is an apocalyptic number.

28102800 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 28102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49126320).

28102800 is an abundant number, since it is smaller than the sum of its proper divisors (70149840).

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

28102800 is a wasteful number, since it uses less digits than its factorization.

28102800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 28102800 is about 5301.2074096379. The cubic root of 28102800 is about 304.0300639704.

Adding to 28102800 its reverse (820182), we get a palindrome (28922982).

The spelling of 28102800 in words is "twenty-eight million, one hundred two thousand, eight hundred".