28905718302720 has 3072 divisors, whose sum is σ = 128442682368000. Its totient is φ = 6019743744000.

The previous prime is 28905718302697. The next prime is 28905718302829. The reversal of 28905718302720 is 2720381750982.

28905718302720 is a `hidden beast` number, since 28 + 9 + 0 + 571 + 8 + 3 + 0 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 159700101030 + ... + 159700101210.

It is an arithmetic number, because the mean of its divisors is an integer number (41810769000).

Almost surely, 2^{28905718302720} is an apocalyptic number.

28905718302720 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 28905718302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64221341184000).

28905718302720 is an abundant number, since it is smaller than the sum of its proper divisors (99536964065280).

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

28905718302720 is a wasteful number, since it uses less digits than its factorization.

28905718302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 28905718302720 in words is "twenty-eight trillion, nine hundred five billion, seven hundred eighteen million, three hundred two thousand, seven hundred twenty".