165628016 has 40 divisors (see below), whose sum is σ = 340454400. Its totient is φ = 77837760.

The previous prime is 165628013. The next prime is 165628027. The reversal of 165628016 is 610826561.

It is a happy number.

165628016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165628013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37745 + ... + 41903.

It is an arithmetic number, because the mean of its divisors is an integer number (8511360).

Almost surely, 2^165628016 is an apocalyptic number.

165628016 is a gapful number since it is divisible by the number (16) 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 165628016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170227200).

165628016 is an abundant number, since it is smaller than the sum of its proper divisors (174826384).

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

165628016 is a wasteful number, since it uses less digits than its factorization.

165628016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 165628016 is about 12869.6548516268. The cubic root of 165628016 is about 549.1756421781.

The spelling of 165628016 in words is "one hundred sixty-five million, six hundred twenty-eight thousand, sixteen".