33422928 has 80 divisors (see below), whose sum is σ = 107659776. Its totient is φ = 8680320.

The previous prime is 33422927. The next prime is 33422953. The reversal of 33422928 is 82922433.

It is a super-2 number, since 2×33422928² = 2234184232186368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33422927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826 + ... + 8217.

Almost surely, 2^33422928 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 33422928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53829888).

33422928 is an abundant number, since it is smaller than the sum of its proper divisors (74236848).

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

33422928 is a wasteful number, since it uses less digits than its factorization.

33422928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9072 (or 9066 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 33422928 is about 5781.2566108070. The cubic root of 33422928 is about 322.1178792462.

The spelling of 33422928 in words is "thirty-three million, four hundred twenty-two thousand, nine hundred twenty-eight".