33728256 has 54 divisors (see below), whose sum is σ = 97253520. Its totient is φ = 11241984.

The previous prime is 33728251. The next prime is 33728257. The reversal of 33728256 is 65282733.

It is a super-2 number, since 2×33728256² = 2275190505603072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33728256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33728251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5016 + ... + 9623.

Almost surely, 2^33728256 is an apocalyptic number.

33728256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33728256 is an abundant number, since it is smaller than the sum of its proper divisors (63525264).

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

33728256 is a wasteful number, since it uses less digits than its factorization.

33728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14661 (or 14644 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 33728256 is about 5807.6032922368. The cubic root of 33728256 is about 323.0957870723.

It can be divided in two parts, 33728 and 256, that multiplied together give a palindrome (8634368).

The spelling of 33728256 in words is "thirty-three million, seven hundred twenty-eight thousand, two hundred fifty-six".