28781832816 has 160 divisors (see below), whose sum is σ = 90204940800. Its totient is φ = 8714027520.

The previous prime is 28781832803. The next prime is 28781832829. The reversal of 28781832816 is 61823818782.

28781832816 is a `hidden beast` number, since 287 + 8 + 1 + 83 + 281 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (28781832803) and next prime (28781832829).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7634580 + ... + 7638348.

It is an arithmetic number, because the mean of its divisors is an integer number (563780880).

Almost surely, 2^28781832816 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 28781832816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45102470400).

28781832816 is an abundant number, since it is smaller than the sum of its proper divisors (61423107984).

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

28781832816 is a wasteful number, since it uses less digits than its factorization.

28781832816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 5392 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 28781832816 in words is "twenty-eight billion, seven hundred eighty-one million, eight hundred thirty-two thousand, eight hundred sixteen".