28586005824 has 112 divisors (see below), whose sum is σ = 77791876928. Its totient is φ = 9257545728.

The previous prime is 28586005823. The next prime is 28586005843. The reversal of 28586005824 is 42850068582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28586005823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5588292 + ... + 5593404.

Almost surely, 2^28586005824 is an apocalyptic number.

28586005824 is a gapful number since it is divisible by the number (24) 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 28586005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38895938464).

28586005824 is an abundant number, since it is smaller than the sum of its proper divisors (49205871104).

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

28586005824 is a wasteful number, since it uses less digits than its factorization.

28586005824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5942 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 28586005824 in words is "twenty-eight billion, five hundred eighty-six million, five thousand, eight hundred twenty-four".