28006272 has 192 divisors, whose sum is σ = 96744960. Its totient is φ = 7603200.

The previous prime is 28006271. The next prime is 28006283. The reversal of 28006272 is 27260082.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28006271) 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, 185397 + ... + 185547.

It is an arithmetic number, because the mean of its divisors is an integer number (503880).

Almost surely, 2^28006272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48372480).

28006272 is an abundant number, since it is smaller than the sum of its proper divisors (68738688).

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

28006272 is a wasteful number, since it uses less digits than its factorization.

28006272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28006272 is about 5292.0952372383. The cubic root of 28006272 is about 303.6815686925.

The spelling of 28006272 in words is "twenty-eight million, six thousand, two hundred seventy-two".