32005428 has 144 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 8176896.

The previous prime is 32005427. The next prime is 32005429. The reversal of 32005428 is 82450023.

It is an interprime number because it is at equal distance from previous prime (32005427) and next prime (32005429).

It is a junction number, because it is equal to n+sod(n) for n = 32005398 and 32005407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32005427) 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 47 ways as a sum of consecutive naturals, for example, 405093 + ... + 405171.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^32005428 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 32005428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

32005428 is an abundant number, since it is smaller than the sum of its proper divisors (64520652).

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

32005428 is a wasteful number, since it uses less digits than its factorization.

32005428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 32005428 is about 5657.3340010998. The cubic root of 32005428 is about 317.4981602390.

The spelling of 32005428 in words is "thirty-two million, five thousand, four hundred twenty-eight".