33542128 has 20 divisors (see below), whose sum is σ = 66745480. Its totient is φ = 16317504.

The previous prime is 33542111. The next prime is 33542137. The reversal of 33542128 is 82124533.

It is a super-2 number, since 2×33542128² = 2250148701536768, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 33542096 and 33542105.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 27738 + ... + 28921.

It is an arithmetic number, because the mean of its divisors is an integer number (3337274).

Almost surely, 2^33542128 is an apocalyptic number.

It is an amenable number.

33542128 is a deficient number, since it is larger than the sum of its proper divisors (33203352).

33542128 is a wasteful number, since it uses less digits than its factorization.

33542128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56704 (or 56698 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 33542128 is about 5791.5566128632. The cubic root of 33542128 is about 322.5003601542.

It can be divided in two parts, 33542 and 128, that added together give a triangular number (33670 = T₂₅₉).

The spelling of 33542128 in words is "thirty-three million, five hundred forty-two thousand, one hundred twenty-eight".