33284628 has 96 divisors (see below), whose sum is σ = 94142720. Its totient is φ = 10108800.

The previous prime is 33284621. The next prime is 33284653. The reversal of 33284628 is 82648233.

33284628 is a `hidden beast` number, since 3 + 3 + 28 + 4 + 628 = 666.

It is a super-2 number, since 2×33284628² = 2215732922196768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33284592 and 33284601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33284621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211926 + ... + 212082.

Almost surely, 2^33284628 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 33284628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47071360).

33284628 is an abundant number, since it is smaller than the sum of its proper divisors (60858092).

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

33284628 is a wasteful number, since it uses less digits than its factorization.

33284628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 33284628 is about 5769.2831443776. The cubic root of 33284628 is about 321.6729701874.

The spelling of 33284628 in words is "thirty-three million, two hundred eighty-four thousand, six hundred twenty-eight".