18428032 has 64 divisors (see below), whose sum is σ = 42546240. Its totient is φ = 7787520.

The previous prime is 18428009. The next prime is 18428057. The reversal of 18428032 is 23082481.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117298 + ... + 117454.

It is an arithmetic number, because the mean of its divisors is an integer number (664785).

Almost surely, 2^18428032 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 18428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273120).

18428032 is an abundant number, since it is smaller than the sum of its proper divisors (24118208).

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

18428032 is a wasteful number, since it uses less digits than its factorization.

18428032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

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

The square root of 18428032 is about 4292.7883712105. The cubic root of 18428032 is about 264.1352230429.

The spelling of 18428032 in words is "eighteen million, four hundred twenty-eight thousand, thirty-two".