28272768 has 128 divisors (see below), whose sum is σ = 81959040. Its totient is φ = 8601600.

The previous prime is 28272737. The next prime is 28272781. The reversal of 28272768 is 86727282.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398173 + ... + 398243.

It is an arithmetic number, because the mean of its divisors is an integer number (640305).

Almost surely, 2^28272768 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 28272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979520).

28272768 is an abundant number, since it is smaller than the sum of its proper divisors (53686272).

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

28272768 is a wasteful number, since it uses less digits than its factorization.

28272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 28272768 is about 5317.2143082633. The cubic root of 28272768 is about 304.6417651959.

The spelling of 28272768 in words is "twenty-eight million, two hundred seventy-two thousand, seven hundred sixty-eight".