28967904737280 has 768 divisors, whose sum is σ = 109387998720000. Its totient is φ = 7250924666880.

The previous prime is 28967904737279. The next prime is 28967904737323. The reversal of 28967904737280 is 8273740976982.

28967904737280 is a `hidden beast` number, since 2 + 8 + 9 + 6 + 7 + 9 + 0 + 473 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28967904737199 and 28967904737208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572564785 + ... + 572615375.

It is an arithmetic number, because the mean of its divisors is an integer number (142432290000).

Almost surely, 2^{28967904737280} is an apocalyptic number.

28967904737280 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 28967904737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54693999360000).

28967904737280 is an abundant number, since it is smaller than the sum of its proper divisors (80420093982720).

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

28967904737280 is a wasteful number, since it uses less digits than its factorization.

28967904737280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50755 (or 50729 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 28967904737280 in words is "twenty-eight trillion, nine hundred sixty-seven billion, nine hundred four million, seven hundred thirty-seven thousand, two hundred eighty".