33076091328 has 672 divisors, whose sum is σ = 113859624960. Its totient is φ = 8413009920.

The previous prime is 33076091299. The next prime is 33076091329. The reversal of 33076091328 is 82319067033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 33076091328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33076091329) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 260441601 + ... + 260441727.

Almost surely, 2^33076091328 is an apocalyptic number.

33076091328 is a gapful number since it is divisible by the number (38) 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 33076091328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56929812480).

33076091328 is an abundant number, since it is smaller than the sum of its proper divisors (80783533632).

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

33076091328 is a wasteful number, since it uses less digits than its factorization.

33076091328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 33076091328 in words is "thirty-three billion, seventy-six million, ninety-one thousand, three hundred twenty-eight".