28167434856 has 256 divisors, whose sum is σ = 87004108800. Its totient is φ = 8372160000.

The previous prime is 28167434837. The next prime is 28167434879. The reversal of 28167434856 is 65843476182.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43535125 + ... + 43535771.

It is an arithmetic number, because the mean of its divisors is an integer number (339859800).

Almost surely, 2^28167434856 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 28167434856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43502054400).

28167434856 is an abundant number, since it is smaller than the sum of its proper divisors (58836673944).

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

28167434856 is a wasteful number, since it uses less digits than its factorization.

28167434856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 987 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 28167434856 in words is "twenty-eight billion, one hundred sixty-seven million, four hundred thirty-four thousand, eight hundred fifty-six".