28032536909952 has 320 divisors, whose sum is σ = 86548423104000. Its totient is φ = 8997292339200.

The previous prime is 28032536909879. The next prime is 28032536910013. The reversal of 28032536909952 is 25990963523082.

28032536909952 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 2 + 536 + 9 + 0 + 9 + 95 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28032536909952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63741052 + ... + 64179332.

It is an arithmetic number, because the mean of its divisors is an integer number (270463822200).

Almost surely, 2^{28032536909952} 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 28032536909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43274211552000).

28032536909952 is an abundant number, since it is smaller than the sum of its proper divisors (58515886194048).

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

28032536909952 is a wasteful number, since it uses less digits than its factorization.

28032536909952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438537 (or 438516 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 28032536909952 in words is "twenty-eight trillion, thirty-two billion, five hundred thirty-six million, nine hundred nine thousand, nine hundred fifty-two".