33283872 has 60 divisors (see below), whose sum is σ = 97894566. Its totient is φ = 11093760.

The previous prime is 33283853. The next prime is 33283879. The reversal of 33283872 is 27838233.

It can be written as a sum of positive squares in only one way, i.e., 28772496 + 4511376 = 5364^2 + 2124^2 .

It is a super-2 number, since 2×33283872² = 2215632270624768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33283879) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3829 + ... + 9012.

Almost surely, 2^33283872 is an apocalyptic number.

33283872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33283872 is an abundant number, since it is smaller than the sum of its proper divisors (64610694).

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

33283872 is a wasteful number, since it uses less digits than its factorization.

33283872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12863 (or 12846 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 33283872 is about 5769.2176246004. The cubic root of 33283872 is about 321.6705347628.

The spelling of 33283872 in words is "thirty-three million, two hundred eighty-three thousand, eight hundred seventy-two".