165416628 has 48 divisors (see below), whose sum is σ = 422500736. Its totient is φ = 50060160.

The previous prime is 165416597. The next prime is 165416639. The reversal of 165416628 is 826614561.

It is a happy number.

165416628 is digitally balanced in base 2 and base 3, because in such bases 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 (39).

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, 825 + ... + 18207.

Almost surely, 2^165416628 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 165416628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211250368).

165416628 is an abundant number, since it is smaller than the sum of its proper divisors (257084108).

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

165416628 is a wasteful number, since it uses less digits than its factorization.

165416628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17464 (or 17462 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 165416628 is about 12861.4395772791. The cubic root of 165416628 is about 548.9419084455.

The spelling of 165416628 in words is "one hundred sixty-five million, four hundred sixteen thousand, six hundred twenty-eight".