33970328 has 48 divisors (see below), whose sum is σ = 78010200. Its totient is φ = 13789440.

The previous prime is 33970303. The next prime is 33970337. The reversal of 33970328 is 82307933.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5168 + ... + 9728.

Almost surely, 2^33970328 is an apocalyptic number.

33970328 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 33970328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39005100).

33970328 is an abundant number, since it is smaller than the sum of its proper divisors (44039872).

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

33970328 is a wasteful number, since it uses less digits than its factorization.

33970328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 33970328 is about 5828.4069864758. The cubic root of 33970328 is about 323.8669117571.

The spelling of 33970328 in words is "thirty-three million, nine hundred seventy thousand, three hundred twenty-eight".