33681128 has 48 divisors (see below), whose sum is σ = 70483140. Its totient is φ = 14999040.

The previous prime is 33681107. The next prime is 33681133. The reversal of 33681128 is 82118633.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30448324 + 3232804 = 5518^2 + 1798^2 .

It is a super-2 number, since 2×33681128² = 2268836766704768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33681094 and 33681103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99776 + ... + 100112.

Almost surely, 2^33681128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33681128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35241570).

33681128 is an abundant number, since it is smaller than the sum of its proper divisors (36802012).

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

33681128 is a wasteful number, since it uses less digits than its factorization.

33681128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 383 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 33681128 is about 5803.5444342229. The cubic root of 33681128 is about 322.9452312509.

The spelling of 33681128 in words is "thirty-three million, six hundred eighty-one thousand, one hundred twenty-eight".