28664160 has 192 divisors, whose sum is σ = 108864000. Its totient is φ = 6193152.

The previous prime is 28664137. The next prime is 28664171. The reversal of 28664160 is 6146682.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 63616 + ... + 64064.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 2^28664160 is an apocalyptic number.

28664160 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 28664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

28664160 is an abundant number, since it is smaller than the sum of its proper divisors (80199840).

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

28664160 is a wasteful number, since it uses less digits than its factorization.

28664160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 28664160 is about 5353.8920422437. The cubic root of 28664160 is about 306.0410897874.

It can be divided in two parts, 286 and 64160, that added together give a palindrome (64446).

The spelling of 28664160 in words is "twenty-eight million, six hundred sixty-four thousand, one hundred sixty".