33955128 has 48 divisors (see below), whose sum is σ = 96805800. Its totient is φ = 10722240.

The previous prime is 33955127. The next prime is 33955151. The reversal of 33955128 is 82155933.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33955092 and 33955101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33955127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11043 + ... + 13778.

Almost surely, 2^33955128 is an apocalyptic number.

33955128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

33955128 is an abundant number, since it is smaller than the sum of its proper divisors (62850672).

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

33955128 is a wasteful number, since it uses less digits than its factorization.

33955128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24852 (or 24845 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 33955128 is about 5827.1028822220. The cubic root of 33955128 is about 323.8185998747.

The spelling of 33955128 in words is "thirty-three million, nine hundred fifty-five thousand, one hundred twenty-eight".