33228357632 has 144 divisors (see below), whose sum is σ = 71485774605. Its totient is φ = 15442771968.

The previous prime is 33228357601. The next prime is 33228357647. The reversal of 33228357632 is 23675382233.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 31519031296 + 1709326336 = 177536^2 + 41344^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=128896.

It is a super-2 number, since 2×33228357632² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 626950118 + ... + 626950170.

Almost surely, 2^33228357632 is an apocalyptic number.

33228357632 is a gapful number since it is divisible by the number (32) 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 33228357632

33228357632 is an abundant number, since it is smaller than the sum of its proper divisors (38257416973).

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

33228357632 is an frugal number, since it uses more digits than its factorization.

33228357632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 74 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 44.

The spelling of 33228357632 in words is "thirty-three billion, two hundred twenty-eight million, three hundred fifty-seven thousand, six hundred thirty-two".