28146721180032 has 1024 divisors, whose sum is σ = 105940783872000. Its totient is φ = 7159553556480.

The previous prime is 28146721180027. The next prime is 28146721180037. The reversal of 28146721180032 is 23008112764182.

28146721180032 is a `hidden beast` number, since 2 + 8 + 1 + 467 + 2 + 1 + 180 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (28146721180027) and next prime (28146721180037).

It is a self number, because there is not a number n which added to its sum of digits gives 28146721180032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28146721180037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 983414682 + ... + 983443302.

It is an arithmetic number, because the mean of its divisors is an integer number (103457796750).

Almost surely, 2^{28146721180032} 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 28146721180032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52970391936000).

28146721180032 is an abundant number, since it is smaller than the sum of its proper divisors (77794062691968).

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

28146721180032 is a wasteful number, since it uses less digits than its factorization.

28146721180032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28776 (or 28758 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 28146721180032 in words is "twenty-eight trillion, one hundred forty-six billion, seven hundred twenty-one million, one hundred eighty thousand, thirty-two".