28816519680 has 960 divisors, whose sum is σ = 115822586880. Its totient is φ = 6565920768.

The previous prime is 28816519673. The next prime is 28816519687. The reversal of 28816519680 is 8691561882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28816519673) and next prime (28816519687).

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (28816519687) 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, 323781076 + ... + 323781164.

It is an arithmetic number, because the mean of its divisors is an integer number (120648528).

Almost surely, 2^28816519680 is an apocalyptic number.

28816519680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28816519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57911293440).

28816519680 is an abundant number, since it is smaller than the sum of its proper divisors (87006067200).

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

28816519680 is a wasteful number, since it uses less digits than its factorization.

28816519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 28816519680 in words is "twenty-eight billion, eight hundred sixteen million, five hundred nineteen thousand, six hundred eighty".