28614690671616 has 704 divisors, whose sum is σ = 97605938304000. Its totient is φ = 8111949742080.

The previous prime is 28614690671569. The next prime is 28614690671621. The reversal of 28614690671616 is 61617609641682.

It is a happy number.

28614690671616 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 4 + 6 + 9 + 0 + 6 + 7 + 1 + 616 = 666.

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

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, 28026141186 + ... + 28026142206.

Almost surely, 2^{28614690671616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28614690671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48802969152000).

28614690671616 is an abundant number, since it is smaller than the sum of its proper divisors (68991247632384).

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

28614690671616 is a wasteful number, since it uses less digits than its factorization.

28614690671616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 28614690671616 in words is "twenty-eight trillion, six hundred fourteen billion, six hundred ninety million, six hundred seventy-one thousand, six hundred sixteen".