28667883552 has 288 divisors, whose sum is σ = 97834008384. Its totient is φ = 7264051200.

The previous prime is 28667883551. The next prime is 28667883631. The reversal of 28667883552 is 25538876682.

It is not an unprimeable number, because it can be changed into a prime (28667883551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2114748 + ... + 2128260.

It is an arithmetic number, because the mean of its divisors is an integer number (339701418).

Almost surely, 2^28667883552 is an apocalyptic number.

28667883552 is a gapful number since it is divisible by the number (22) 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 28667883552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48917004192).

28667883552 is an abundant number, since it is smaller than the sum of its proper divisors (69166124832).

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

28667883552 is a wasteful number, since it uses less digits than its factorization.

28667883552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13592 (or 13577 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 60.

It can be divided in two parts, 286678 and 83552, that added together give a triangular number (370230 = T₈₆₀).

The spelling of 28667883552 in words is "twenty-eight billion, six hundred sixty-seven million, eight hundred eighty-three thousand, five hundred fifty-two".