16282032 has 80 divisors (see below), whose sum is σ = 45934560. Its totient is φ = 4939776.

The previous prime is 16282009. The next prime is 16282081. The reversal of 16282032 is 23028261.

16282032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 16281993 and 16282011.

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, 60394 + ... + 60662.

It is an arithmetic number, because the mean of its divisors is an integer number (574182).

Almost surely, 2^16282032 is an apocalyptic number.

16282032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16282032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22967280).

16282032 is an abundant number, since it is smaller than the sum of its proper divisors (29652528).

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

16282032 is a wasteful number, since it uses less digits than its factorization.

16282032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 16282032 is about 4035.0999987609. The cubic root of 16282032 is about 253.4561700382.

The spelling of 16282032 in words is "sixteen million, two hundred eighty-two thousand, thirty-two".