33414528 has 128 divisors (see below), whose sum is σ = 104970240. Its totient is φ = 9216000.

The previous prime is 33414523. The next prime is 33414533. The reversal of 33414528 is 82541433.

It is an interprime number because it is at equal distance from previous prime (33414523) and next prime (33414533).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33414528² = 2233061362925568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33414495 and 33414504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33414523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83128 + ... + 83528.

It is an arithmetic number, because the mean of its divisors is an integer number (820080).

Almost surely, 2^33414528 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 33414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52485120).

33414528 is an abundant number, since it is smaller than the sum of its proper divisors (71555712).

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

33414528 is a wasteful number, since it uses less digits than its factorization.

33414528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 33414528 is about 5780.5300794996. The cubic root of 33414528 is about 322.0908916157.

The spelling of 33414528 in words is "thirty-three million, four hundred fourteen thousand, five hundred twenty-eight".