28122046128 has 160 divisors (see below), whose sum is σ = 88405413120. Its totient is φ = 8488304640.

The previous prime is 28122046123. The next prime is 28122046133. The reversal of 28122046128 is 82164022182.

28122046128 is a `hidden beast` number, since 2 + 8 + 12 + 20 + 4 + 612 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (28122046123) and next prime (28122046133).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28122046092 and 28122046101.

It is not an unprimeable number, because it can be changed into a prime (28122046123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1209751 + ... + 1232777.

It is an arithmetic number, because the mean of its divisors is an integer number (552533832).

Almost surely, 2^28122046128 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 28122046128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44202706560).

28122046128 is an abundant number, since it is smaller than the sum of its proper divisors (60283366992).

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

28122046128 is a wasteful number, since it uses less digits than its factorization.

28122046128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23312 (or 23300 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 28122046128 in words is "twenty-eight billion, one hundred twenty-two million, forty-six thousand, one hundred twenty-eight".