32428180 has 48 divisors (see below), whose sum is σ = 72769536. Its totient is φ = 12096000.

The previous prime is 32428159. The next prime is 32428199. The reversal of 32428180 is 8182423.

It is a super-2 number, since 2×32428180² = 2103173716224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42805 + ... + 43555.

It is an arithmetic number, because the mean of its divisors is an integer number (1516032).

Almost surely, 2^32428180 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 32428180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36384768).

32428180 is an abundant number, since it is smaller than the sum of its proper divisors (40341356).

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

32428180 is a wasteful number, since it uses less digits than its factorization.

32428180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 32428180 is about 5694.5746109784. The cubic root of 32428180 is about 318.8899690291.

The spelling of 32428180 in words is "thirty-two million, four hundred twenty-eight thousand, one hundred eighty".