28434578006016 has 2016 divisors, whose sum is σ = 109195294261248. Its totient is φ = 6956148326400.

The previous prime is 28434578006011. The next prime is 28434578006039. The reversal of 28434578006016 is 61060087543482.

It is a happy number.

28434578006016 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 4 + 578 + 0 + 0 + 60 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28434578006011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 188308463541 + ... + 188308463691.

Almost surely, 2^{28434578006016} is an apocalyptic number.

28434578006016 is a gapful number since it is divisible by the number (26) 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 28434578006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54597647130624).

28434578006016 is an abundant number, since it is smaller than the sum of its proper divisors (80760716255232).

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

28434578006016 is a wasteful number, since it uses less digits than its factorization.

28434578006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 28434578006016 in words is "twenty-eight trillion, four hundred thirty-four billion, five hundred seventy-eight million, six thousand, sixteen".