33828640 has 48 divisors (see below), whose sum is σ = 84628152. Its totient is φ = 12734464.

The previous prime is 33828631. The next prime is 33828647. The reversal of 33828640 is 4682833.

It can be written as a sum of positive squares in 4 ways, for example, as 22619536 + 11209104 = 4756^2 + 3348^2 .

It is a super-2 number, since 2×33828640² = 2288753768499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 33828596 and 33828605.

It is not an unprimeable number, because it can be changed into a prime (33828647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3499 + ... + 8938.

Almost surely, 2^33828640 is an apocalyptic number.

It is an amenable number.

33828640 is an abundant number, since it is smaller than the sum of its proper divisors (50799512).

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

33828640 is a wasteful number, since it uses less digits than its factorization.

33828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12469 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 33828640 is about 5816.2393348280. The cubic root of 33828640 is about 323.4160084283.

The spelling of 33828640 in words is "thirty-three million, eight hundred twenty-eight thousand, six hundred forty".