33960128 has 28 divisors (see below), whose sum is σ = 69567552. Its totient is φ = 16431360.

The previous prime is 33960119. The next prime is 33960137. The reversal of 33960128 is 82106933.

It is an interprime number because it is at equal distance from previous prime (33960119) and next prime (33960137).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 33960094 and 33960103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6575 + ... + 10542.

Almost surely, 2^33960128 is an apocalyptic number.

It is an amenable number.

33960128 is an abundant number, since it is smaller than the sum of its proper divisors (35607424).

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

33960128 is a wasteful number, since it uses less digits than its factorization.

33960128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17160 (or 17150 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 33960128 is about 5827.5318960946. The cubic root of 33960128 is about 323.8344935323.

The spelling of 33960128 in words is "thirty-three million, nine hundred sixty thousand, one hundred twenty-eight".