33828960 has 192 divisors, whose sum is σ = 119750400. Its totient is φ = 7956480.

The previous prime is 33828943. The next prime is 33829001. The reversal of 33828960 is 6982833.

It is a super-2 number, since 2×33828960² = 2288797069363200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226966 + ... + 227114.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 2^33828960 is an apocalyptic number.

33828960 is a gapful number since it is divisible by the number (30) 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 33828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

33828960 is an abundant number, since it is smaller than the sum of its proper divisors (85921440).

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

33828960 is a wasteful number, since it uses less digits than its factorization.

33828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 33828960 is about 5816.2668439472. The cubic root of 33828960 is about 323.4170282032.

The spelling of 33828960 in words is "thirty-three million, eight hundred twenty-eight thousand, nine hundred sixty".