28667179632 has 320 divisors, whose sum is σ = 96854912000. Its totient is φ = 7094697984.

The previous prime is 28667179591. The next prime is 28667179711. The reversal of 28667179632 is 23697176682.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9044544 + ... + 9047712.

It is an arithmetic number, because the mean of its divisors is an integer number (302671600).

Almost surely, 2^28667179632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28667179632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48427456000).

28667179632 is an abundant number, since it is smaller than the sum of its proper divisors (68187732368).

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

28667179632 is a wasteful number, since it uses less digits than its factorization.

28667179632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3322 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The spelling of 28667179632 in words is "twenty-eight billion, six hundred sixty-seven million, one hundred seventy-nine thousand, six hundred thirty-two".