33771428928 has 224 divisors, whose sum is σ = 103052880000. Its totient is φ = 10832209920.

The previous prime is 33771428909. The next prime is 33771428983. The reversal of 33771428928 is 82982417733.

33771428928 is a `hidden beast` number, since 337 + 7 + 1 + 4 + 289 + 28 = 666.

It is a super-2 number, since 2×33771428928² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17488123 + ... + 17490053.

It is an arithmetic number, because the mean of its divisors is an integer number (460057500).

Almost surely, 2^33771428928 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 33771428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51526440000).

33771428928 is an abundant number, since it is smaller than the sum of its proper divisors (69281451072).

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

33771428928 is a wasteful number, since it uses less digits than its factorization.

33771428928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2314 counting only the distinct ones).

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

The spelling of 33771428928 in words is "thirty-three billion, seven hundred seventy-one million, four hundred twenty-eight thousand, nine hundred twenty-eight".