28791360 has 168 divisors, whose sum is σ = 106786680. Its totient is φ = 7077888.

The previous prime is 28791359. The next prime is 28791361. The reversal of 28791360 is 6319782.

It is an interprime number because it is at equal distance from previous prime (28791359) and next prime (28791361).

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 28643904 = 384^2 + 5352^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28791361) 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, 37056 + ... + 37824.

It is an arithmetic number, because the mean of its divisors is an integer number (635635).

Almost surely, 2^28791360 is an apocalyptic number.

28791360 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 28791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53393340).

28791360 is an abundant number, since it is smaller than the sum of its proper divisors (77995320).

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

28791360 is a wasteful number, since it uses less digits than its factorization.

28791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 28791360 is about 5365.7581011447. The cubic root of 28791360 is about 306.4931175144.

The spelling of 28791360 in words is "twenty-eight million, seven hundred ninety-one thousand, three hundred sixty".