28033613975808 has 576 divisors, whose sum is σ = 100406910320640. Its totient is φ = 7531646976000.

The previous prime is 28033613975789. The next prime is 28033613975813. The reversal of 28033613975808 is 80857931633082.

28033613975808 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 3 + 613 + 9 + 7 + 5 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 946714923 + ... + 946744533.

It is an arithmetic number, because the mean of its divisors is an integer number (174317552640).

Almost surely, 2^{28033613975808} is an apocalyptic number.

28033613975808 is a gapful number since it is divisible by the number (28) 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 28033613975808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50203455160320).

28033613975808 is an abundant number, since it is smaller than the sum of its proper divisors (72373296344832).

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

28033613975808 is a wasteful number, since it uses less digits than its factorization.

28033613975808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30811 (or 30791 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 28033613975808 in words is "twenty-eight trillion, thirty-three billion, six hundred thirteen million, nine hundred seventy-five thousand, eight hundred eight".