33428512 has 48 divisors (see below), whose sum is σ = 71632512. Its totient is φ = 15264000.

The previous prime is 33428497. The next prime is 33428513. The reversal of 33428512 is 21582433.

It is a super-2 number, since 2×33428512² = 2234930829068288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33428513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44137 + ... + 44887.

It is an arithmetic number, because the mean of its divisors is an integer number (1492344).

Almost surely, 2^33428512 is an apocalyptic number.

33428512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33428512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35816256).

33428512 is an abundant number, since it is smaller than the sum of its proper divisors (38204000).

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

33428512 is a wasteful number, since it uses less digits than its factorization.

33428512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 33428512 is about 5781.7395306257. The cubic root of 33428512 is about 322.1358170929.

The spelling of 33428512 in words is "thirty-three million, four hundred twenty-eight thousand, five hundred twelve".