33797428 has 96 divisors (see below), whose sum is σ = 78140160. Its totient is φ = 12441600.

The previous prime is 33797399. The next prime is 33797443. The reversal of 33797428 is 82479733.

It is a super-2 number, since 2×33797428² = 2284532278830368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 334578 + ... + 334678.

It is an arithmetic number, because the mean of its divisors is an integer number (813960).

Almost surely, 2^33797428 is an apocalyptic number.

33797428 is a gapful number since it is divisible by the number (38) 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 33797428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070080).

33797428 is an abundant number, since it is smaller than the sum of its proper divisors (44342732).

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

33797428 is a wasteful number, since it uses less digits than its factorization.

33797428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its digits is 254016, while the sum is 43.

The square root of 33797428 is about 5813.5555385667. Note that the first 4 decimals coincide. The cubic root of 33797428 is about 323.3165112113.

It can be divided in two parts, 33797 and 428, that added together give a square (34225 = 185²).

The spelling of 33797428 in words is "thirty-three million, seven hundred ninety-seven thousand, four hundred twenty-eight".