28735304129280 has 432 divisors, whose sum is σ = 113671583747904. Its totient is φ = 6565329469440.

The previous prime is 28735304129269. The next prime is 28735304129281. The reversal of 28735304129280 is 8292140353782.

28735304129280 is a `hidden beast` number, since 2 + 8 + 7 + 3 + 530 + 4 + 1 + 29 + 2 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (28735304129281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196446570 + ... + 196592790.

Almost surely, 2^{28735304129280} is an apocalyptic number.

28735304129280 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 28735304129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56835791873952).

28735304129280 is an abundant number, since it is smaller than the sum of its proper divisors (84936279618624).

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

28735304129280 is a wasteful number, since it uses less digits than its factorization.

28735304129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148692 (or 148675 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 28735304129280 in words is "twenty-eight trillion, seven hundred thirty-five billion, three hundred four million, one hundred twenty-nine thousand, two hundred eighty".