33628272 has 40 divisors (see below), whose sum is σ = 87144720. Its totient is φ = 11174400.

The previous prime is 33628267. The next prime is 33628319. The reversal of 33628272 is 27282633.

It is a super-2 number, since 2×33628272² = 2261721355411968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17772 + ... + 19572.

It is an arithmetic number, because the mean of its divisors is an integer number (2178618).

Almost surely, 2^33628272 is an apocalyptic number.

It is an amenable number.

33628272 is an abundant number, since it is smaller than the sum of its proper divisors (53516448).

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

33628272 is a wasteful number, since it uses less digits than its factorization.

33628272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2195 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 33628272 is about 5798.9888773820. The cubic root of 33628272 is about 322.7762094961.

The spelling of 33628272 in words is "thirty-three million, six hundred twenty-eight thousand, two hundred seventy-two".