33828432 has 80 divisors (see below), whose sum is σ = 96660480. Its totient is φ = 10108800.

The previous prime is 33828407. The next prime is 33828433. The reversal of 33828432 is 23482833.

It is a super-2 number, since 2×33828432² = 2288725623157248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33828393 and 33828402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33828433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41307 + ... + 42117.

It is an arithmetic number, because the mean of its divisors is an integer number (1208256).

Almost surely, 2^33828432 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 33828432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48330240).

33828432 is an abundant number, since it is smaller than the sum of its proper divisors (62832048).

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

33828432 is a wasteful number, since it uses less digits than its factorization.

33828432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 33828432 is about 5816.2214538307. The cubic root of 33828432 is about 323.4153455711.

The spelling of 33828432 in words is "thirty-three million, eight hundred twenty-eight thousand, four hundred thirty-two".