28334933907984 has 1080 divisors, whose sum is σ = 94137901288704. Its totient is φ = 8246662617600.

The previous prime is 28334933907983. The next prime is 28334933907991. The reversal of 28334933907984 is 48970933943382.

28334933907984 is a `hidden beast` number, since 2 + 8 + 3 + 3 + 4 + 93 + 390 + 79 + 84 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28334933907983) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 89384649394 + ... + 89384649710.

Almost surely, 2^{28334933907984} is an apocalyptic number.

28334933907984 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 28334933907984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47068950644352).

28334933907984 is an abundant number, since it is smaller than the sum of its proper divisors (65802967380720).

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

28334933907984 is a wasteful number, since it uses less digits than its factorization.

28334933907984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 28334933907984 in words is "twenty-eight trillion, three hundred thirty-four billion, nine hundred thirty-three million, nine hundred seven thousand, nine hundred eighty-four".