28063679116032 has 864 divisors, whose sum is σ = 96733031915520. Its totient is φ = 7948769034240.

The previous prime is 28063679116021. The next prime is 28063679116037. The reversal of 28063679116032 is 23061197636082.

28063679116032 is a `hidden beast` number, since 2 + 8 + 0 + 6 + 367 + 91 + 160 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×28063679116032² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28063679116032.

It is not an unprimeable number, because it can be changed into a prime (28063679116037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47324922328 + ... + 47324922920.

It is an arithmetic number, because the mean of its divisors is an integer number (111959527680).

Almost surely, 2^{28063679116032} 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 28063679116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48366515957760).

28063679116032 is an abundant number, since it is smaller than the sum of its proper divisors (68669352799488).

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

28063679116032 is an equidigital number, since it uses as much as digits as its factorization.

28063679116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 28063679116032 in words is "twenty-eight trillion, sixty-three billion, six hundred seventy-nine million, one hundred sixteen thousand, thirty-two".