32428820 has 48 divisors (see below), whose sum is σ = 72912000. Its totient is φ = 12078720.

The previous prime is 32428817. The next prime is 32428849. The reversal of 32428820 is 2882423.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22481 + ... + 23879.

It is an arithmetic number, because the mean of its divisors is an integer number (1519000).

Almost surely, 2^32428820 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 32428820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36456000).

32428820 is an abundant number, since it is smaller than the sum of its proper divisors (40483180).

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

32428820 is a wasteful number, since it uses less digits than its factorization.

32428820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 32428820 is about 5694.6308045386. The cubic root of 32428820 is about 318.8920668777.

The spelling of 32428820 in words is "thirty-two million, four hundred twenty-eight thousand, eight hundred twenty".