33328144 has 10 divisors (see below), whose sum is σ = 64573310. Its totient is φ = 16664064.

The previous prime is 33328111. The next prime is 33328151. The reversal of 33328144 is 44182333.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 150544 = 5760^2 + 388^2 .

It is a super-2 number, since 2×33328144² = 2221530364969472, which contains 22 as substring.

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 as a sum of consecutive naturals, namely, 1041489 + ... + 1041520.

It is an arithmetic number, because the mean of its divisors is an integer number (6457331).

Almost surely, 2^33328144 is an apocalyptic number.

It is an amenable number.

33328144 is a deficient number, since it is larger than the sum of its proper divisors (31245166).

33328144 is a wasteful number, since it uses less digits than its factorization.

33328144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083017 (or 2083011 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 33328144 is about 5773.0532649543. The cubic root of 33328144 is about 321.8130931810.

It can be divided in two parts, 3332 and 8144, that added together give a triangular number (11476 = T₁₅₁).

The spelling of 33328144 in words is "thirty-three million, three hundred twenty-eight thousand, one hundred forty-four".