20133828 has 72 divisors (see below), whose sum is σ = 59806656. Its totient is φ = 5630400.

The previous prime is 20133823. The next prime is 20133833. The reversal of 20133828 is 82833102.

It is an interprime number because it is at equal distance from previous prime (20133823) and next prime (20133833).

It is not an unprimeable number, because it can be changed into a prime (20133823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3193 + ... + 7103.

It is an arithmetic number, because the mean of its divisors is an integer number (830648).

Almost surely, 2^20133828 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 20133828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29903328).

20133828 is an abundant number, since it is smaller than the sum of its proper divisors (39672828).

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

20133828 is a wasteful number, since it uses less digits than its factorization.

20133828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20133828 is about 4487.0734337650. The cubic root of 20133828 is about 272.0458580409.

The spelling of 20133828 in words is "twenty million, one hundred thirty-three thousand, eight hundred twenty-eight".