28587012480 has 640 divisors, whose sum is σ = 111033568800. Its totient is φ = 7008768000.

The previous prime is 28587012431. The next prime is 28587012481. The reversal of 28587012480 is 8421078582.

It is a happy number.

28587012480 is a `hidden beast` number, since 2 + 85 + 87 + 0 + 12 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28587012481) 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 79 ways as a sum of consecutive naturals, for example, 113892355 + ... + 113892605.

Almost surely, 2^28587012480 is an apocalyptic number.

28587012480 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 28587012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55516784400).

28587012480 is an abundant number, since it is smaller than the sum of its proper divisors (82446556320).

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

28587012480 is an equidigital number, since it uses as much as digits as its factorization.

28587012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 28587012480 in words is "twenty-eight billion, five hundred eighty-seven million, twelve thousand, four hundred eighty".