28735814016 has 960 divisors, whose sum is σ = 113262534000. Its totient is φ = 7148445696.

The previous prime is 28735813993. The next prime is 28735814021. The reversal of 28735814016 is 61041853782.

28735814016 is a `hidden beast` number, since 28 + 7 + 3 + 581 + 40 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 125483790 + ... + 125484018.

Almost surely, 2^28735814016 is an apocalyptic number.

28735814016 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 28735814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56631267000).

28735814016 is an abundant number, since it is smaller than the sum of its proper divisors (84526719984).

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

28735814016 is a wasteful number, since it uses less digits than its factorization.

28735814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 28735814016 in words is "twenty-eight billion, seven hundred thirty-five million, eight hundred fourteen thousand, sixteen".