33952461828 has 48 divisors (see below), whose sum is σ = 79564047360. Its totient is φ = 11268784800.

The previous prime is 33952461817. The next prime is 33952461853. The reversal of 33952461828 is 82816425933.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 2863873 + ... + 2875703.

It is an arithmetic number, because the mean of its divisors is an integer number (1657584320).

Almost surely, 2^33952461828 is an apocalyptic number.

It is an amenable number.

33952461828 is an abundant number, since it is smaller than the sum of its proper divisors (45611585532).

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

33952461828 is a wasteful number, since it uses less digits than its factorization.

33952461828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12848 (or 12846 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 33952461828 in words is "thirty-three billion, nine hundred fifty-two million, four hundred sixty-one thousand, eight hundred twenty-eight".