28641096 has 144 divisors (see below), whose sum is σ = 89678160. Its totient is φ = 8184960.

The previous prime is 28641079. The next prime is 28641097. The reversal of 28641096 is 69014682.

28641096 is a `hidden beast` number, since 2 + 8 + 641 + 0 + 9 + 6 = 666.

28641096 is a nontrivial binomial coefficient, being equal to C(7569, 2).

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

It is a self number, because there is not a number n which added to its sum of digits gives 28641096.

It is not an unprimeable number, because it can be changed into a prime (28641097) 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 35 ways as a sum of consecutive naturals, for example, 666051 + ... + 666093.

It is an arithmetic number, because the mean of its divisors is an integer number (622765).

Almost surely, 2^28641096 is an apocalyptic number.

28641096 is the 7568-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28641096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44839080).

28641096 is an abundant number, since it is smaller than the sum of its proper divisors (61037064).

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

28641096 is a wasteful number, since it uses less digits than its factorization.

28641096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28641096 is about 5351.7376617319. The cubic root of 28641096 is about 305.9589846347.

The spelling of 28641096 in words is "twenty-eight million, six hundred forty-one thousand, ninety-six".