28848564782352 has 480 divisors, whose sum is σ = 94593808108800. Its totient is φ = 8203931043840.

The previous prime is 28848564782333. The next prime is 28848564782353. The reversal of 28848564782352 is 25328746584882.

28848564782352 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 8 + 564 + 7 + 8 + 2 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (28848564782353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10633454148 + ... + 10633456860.

It is an arithmetic number, because the mean of its divisors is an integer number (197070433560).

Almost surely, 2^{28848564782352} 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 28848564782352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47296904054400).

28848564782352 is an abundant number, since it is smaller than the sum of its proper divisors (65745243326448).

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

28848564782352 is a wasteful number, since it uses less digits than its factorization.

28848564782352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3653 counting only the distinct ones).

The product of its digits is 1651507200, while the sum is 72.

The spelling of 28848564782352 in words is "twenty-eight trillion, eight hundred forty-eight billion, five hundred sixty-four million, seven hundred eighty-two thousand, three hundred fifty-two".