28244467066032 has 800 divisors, whose sum is σ = 98644446172800. Its totient is φ = 7631112093696.

The previous prime is 28244467066031. The next prime is 28244467066033. The reversal of 28244467066032 is 23066076444282.

28244467066032 is a `hidden beast` number, since 2 + 8 + 24 + 4 + 4 + 6 + 7 + 0 + 6 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (28244467066031) and next prime (28244467066033).

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 28244467066032.

It is not an unprimeable number, because it can be changed into a prime (28244467066031) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9886056348 + ... + 9886059204.

It is an arithmetic number, because the mean of its divisors is an integer number (123305557716).

Almost surely, 2^{28244467066032} 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 28244467066032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49322223086400).

28244467066032 is an abundant number, since it is smaller than the sum of its proper divisors (70399979106768).

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

28244467066032 is a wasteful number, since it uses less digits than its factorization.

28244467066032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 28244467066032 in words is "twenty-eight trillion, two hundred forty-four billion, four hundred sixty-seven million, sixty-six thousand, thirty-two".