28823680 has 64 divisors (see below), whose sum is σ = 71328600. Its totient is φ = 11124736.

The previous prime is 28823671. The next prime is 28823681. The reversal of 28823680 is 8632882.

It can be written as a sum of positive squares in 4 ways, for example, as 17372224 + 11451456 = 4168^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (28823681) 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 7 ways as a sum of consecutive naturals, for example, 17784 + ... + 19336.

Almost surely, 2^28823680 is an apocalyptic number.

28823680 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 28823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35664300).

28823680 is an abundant number, since it is smaller than the sum of its proper divisors (42504920).

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

28823680 is a wasteful number, since it uses less digits than its factorization.

28823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 28823680 is about 5368.7689464159. The cubic root of 28823680 is about 306.6077601622.

The spelling of 28823680 in words is "twenty-eight million, eight hundred twenty-three thousand, six hundred eighty".