28034709700608 has 1200 divisors, whose sum is σ = 97131554682624. Its totient is φ = 7980460277760.

The previous prime is 28034709700589. The next prime is 28034709700619. The reversal of 28034709700608 is 80600790743082.

28034709700608 is a `hidden beast` number, since 2 + 80 + 3 + 470 + 97 + 0 + 0 + 6 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17890688241 + ... + 17890689807.

Almost surely, 2^{28034709700608} 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 28034709700608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48565777341312).

28034709700608 is an abundant number, since it is smaller than the sum of its proper divisors (69096844982016).

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

28034709700608 is a wasteful number, since it uses less digits than its factorization.

28034709700608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 28034709700608 in words is "twenty-eight trillion, thirty-four billion, seven hundred nine million, seven hundred thousand, six hundred eight".