28816403616 has 864 divisors, whose sum is σ = 114817772160. Its totient is φ = 6879375360.

The previous prime is 28816403597. The next prime is 28816403641. The reversal of 28816403616 is 61630461882.

28816403616 is a `hidden beast` number, since 28 + 8 + 1 + 6 + 4 + 0 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 123675436 + ... + 123675668.

It is an arithmetic number, because the mean of its divisors is an integer number (132890940).

Almost surely, 2^28816403616 is an apocalyptic number.

28816403616 is a gapful number since it is divisible by the number (26) 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 28816403616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57408886080).

28816403616 is an abundant number, since it is smaller than the sum of its proper divisors (86001368544).

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

28816403616 is a wasteful number, since it uses less digits than its factorization.

28816403616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28816403616 in words is "twenty-eight billion, eight hundred sixteen million, four hundred three thousand, six hundred sixteen".