33928681104 has 480 divisors, whose sum is σ = 106964582400. Its totient is φ = 10002769920.

The previous prime is 33928681067. The next prime is 33928681139. The reversal of 33928681104 is 40118682933.

33928681104 is a `hidden beast` number, since 3 + 392 + 86 + 81 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 33928681104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381221092 + ... + 381221180.

It is an arithmetic number, because the mean of its divisors is an integer number (222842880).

Almost surely, 2^33928681104 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 33928681104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53482291200).

33928681104 is an abundant number, since it is smaller than the sum of its proper divisors (73035901296).

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

33928681104 is a wasteful number, since it uses less digits than its factorization.

33928681104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 33928681104 in words is "thirty-three billion, nine hundred twenty-eight million, six hundred eighty-one thousand, one hundred four".