28068600 has 192 divisors, whose sum is σ = 102493440. Its totient is φ = 6220800.

The previous prime is 28068587. The next prime is 28068619. The reversal of 28068600 is 686082.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 172119 + ... + 172281.

It is an arithmetic number, because the mean of its divisors is an integer number (533820).

Almost surely, 2^28068600 is an apocalyptic number.

28068600 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 28068600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51246720).

28068600 is an abundant number, since it is smaller than the sum of its proper divisors (74424840).

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

28068600 is a wasteful number, since it uses less digits than its factorization.

28068600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 28068600 is about 5297.9807474169. The cubic root of 28068600 is about 303.9066830385.

The spelling of 28068600 in words is "twenty-eight million, sixty-eight thousand, six hundred".