28974806784 has 864 divisors, whose sum is σ = 113138049024. Its totient is φ = 7171338240.

The previous prime is 28974806767. The next prime is 28974806837. The reversal of 28974806784 is 48760847982.

28974806784 is a `hidden beast` number, since 2 + 8 + 97 + 480 + 67 + 8 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110170237 + ... + 110170499.

It is an arithmetic number, because the mean of its divisors is an integer number (130946816).

Almost surely, 2^28974806784 is an apocalyptic number.

28974806784 is a gapful number since it is divisible by the number (24) 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 28974806784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56569024512).

28974806784 is an abundant number, since it is smaller than the sum of its proper divisors (84163242240).

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

28974806784 is a wasteful number, since it uses less digits than its factorization.

28974806784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 28974806784 in words is "twenty-eight billion, nine hundred seventy-four million, eight hundred six thousand, seven hundred eighty-four".