33538528 has 24 divisors (see below), whose sum is σ = 68160960. Its totient is φ = 16227840.

The previous prime is 33538523. The next prime is 33538543. The reversal of 33538528 is 82583533.

It is a super-2 number, since 2×33538528² = 2249665720813568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33538523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15913 + ... + 17896.

It is an arithmetic number, because the mean of its divisors is an integer number (2840040).

Almost surely, 2^33538528 is an apocalyptic number.

It is an amenable number.

33538528 is an abundant number, since it is smaller than the sum of its proper divisors (34622432).

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

33538528 is a wasteful number, since it uses less digits than its factorization.

33538528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33850 (or 33842 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 33538528 is about 5791.2458072508. The cubic root of 33538528 is about 322.4888219990.

It can be divided in two parts, 3353 and 8528, that added together give a square (11881 = 109²).

The spelling of 33538528 in words is "thirty-three million, five hundred thirty-eight thousand, five hundred twenty-eight".