28284960 has 144 divisors (see below), whose sum is σ = 98134848. Its totient is φ = 6842880.

The previous prime is 28284953. The next prime is 28284961. The reversal of 28284960 is 6948282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28284961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57837 + ... + 58323.

It is an arithmetic number, because the mean of its divisors is an integer number (681492).

Almost surely, 2^28284960 is an apocalyptic number.

28284960 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 28284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49067424).

28284960 is an abundant number, since it is smaller than the sum of its proper divisors (69849888).

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

28284960 is a wasteful number, since it uses less digits than its factorization.

28284960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 28284960 is about 5318.3606496739. The cubic root of 28284960 is about 304.6855488895.

The spelling of 28284960 in words is "twenty-eight million, two hundred eighty-four thousand, nine hundred sixty".