28764288 has 256 divisors, whose sum is σ = 102816000. Its totient is φ = 7741440.

The previous prime is 28764277. The next prime is 28764293. The reversal of 28764288 is 88246782.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

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, 701548 + ... + 701588.

It is an arithmetic number, because the mean of its divisors is an integer number (401625).

Almost surely, 2^28764288 is an apocalyptic number.

28764288 is a gapful number since it is divisible by the number (28) 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 28764288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408000).

28764288 is an abundant number, since it is smaller than the sum of its proper divisors (74051712).

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

28764288 is a wasteful number, since it uses less digits than its factorization.

28764288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 28764288 is about 5363.2348447555. The cubic root of 28764288 is about 306.3970240606.

The spelling of 28764288 in words is "twenty-eight million, seven hundred sixty-four thousand, two hundred eighty-eight".