33228405 has 48 divisors (see below), whose sum is σ = 67626624. Its totient is φ = 14774400.

The previous prime is 33228361. The next prime is 33228413. The reversal of 33228405 is 50482233.

33228405 is a `hidden beast` number, since 33 + 228 + 405 = 666.

It is not a de Polignac number, because 33228405 - 2¹⁷ = 33097333 is a prime.

It is a super-2 number, since 2×33228405² = 2208253797688050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10230 + ... + 13080.

It is an arithmetic number, because the mean of its divisors is an integer number (1408888).

Almost surely, 2^33228405 is an apocalyptic number.

33228405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33228405 is an abundant number, since it is smaller than the sum of its proper divisors (34398219).

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

33228405 is a wasteful number, since it uses less digits than its factorization.

33228405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 33228405 is about 5764.4084692187. The cubic root of 33228405 is about 321.4917492745.

It can be divided in two parts, 33228 and 405, that added together give a palindrome (33633).

The spelling of 33228405 in words is "thirty-three million, two hundred twenty-eight thousand, four hundred five".