28586643680 has 96 divisors (see below), whose sum is σ = 77615677440. Its totient is φ = 9746311680.

The previous prime is 28586643601. The next prime is 28586643689. The reversal of 28586643680 is 8634668582.

It is a super-3 number, since 3×28586643680³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28586643689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129185 + ... + 271775.

It is an arithmetic number, because the mean of its divisors is an integer number (808496640).

Almost surely, 2^28586643680 is an apocalyptic number.

28586643680 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 28586643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38807838720).

28586643680 is an abundant number, since it is smaller than the sum of its proper divisors (49029033760).

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

28586643680 is a wasteful number, since it uses less digits than its factorization.

28586643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142792 (or 142784 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 28586643680 in words is "twenty-eight billion, five hundred eighty-six million, six hundred forty-three thousand, six hundred eighty".