33427152 has 120 divisors (see below), whose sum is σ = 104457600. Its totient is φ = 9891840.

The previous prime is 33427133. The next prime is 33427183. The reversal of 33427152 is 25172433.

It is a super-2 number, since 2×33427152² = 2234748981662208, 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 23 ways as a sum of consecutive naturals, for example, 74224 + ... + 74672.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 2^33427152 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 33427152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52228800).

33427152 is an abundant number, since it is smaller than the sum of its proper divisors (71030448).

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

33427152 is a wasteful number, since it uses less digits than its factorization.

33427152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 512 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 33427152 is about 5781.6219177667. The cubic root of 33427152 is about 322.1314484604.

Adding to 33427152 its reverse (25172433), we get a palindrome (58599585).

The spelling of 33427152 in words is "thirty-three million, four hundred twenty-seven thousand, one hundred fifty-two".