28072228347072 has 1008 divisors, whose sum is σ = 105955803076032. Its totient is φ = 7029784903680.

The previous prime is 28072228346983. The next prime is 28072228347083. The reversal of 28072228347072 is 27074382227082.

It is a happy number.

28072228347072 is a `hidden beast` number, since 2 + 8 + 0 + 7 + 2 + 22 + 83 + 470 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1156127572 + ... + 1156151852.

It is an arithmetic number, because the mean of its divisors is an integer number (105114884004).

Almost surely, 2^{28072228347072} 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 28072228347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52977901538016).

28072228347072 is an abundant number, since it is smaller than the sum of its proper divisors (77883574728960).

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

28072228347072 is a wasteful number, since it uses less digits than its factorization.

28072228347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24486 (or 24466 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 28072228347072 in words is "twenty-eight trillion, seventy-two billion, two hundred twenty-eight million, three hundred forty-seven thousand, seventy-two".