165340728 has 96 divisors (see below), whose sum is σ = 514200960. Its totient is φ = 47016000.

The previous prime is 165340727. The next prime is 165340751. The reversal of 165340728 is 827043561.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165340692 and 165340701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165340727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125851 + ... + 127157.

It is an arithmetic number, because the mean of its divisors is an integer number (5356260).

Almost surely, 2^165340728 is an apocalyptic number.

165340728 is a gapful number since it is divisible by the number (18) 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 165340728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257100480).

165340728 is an abundant number, since it is smaller than the sum of its proper divisors (348860232).

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

165340728 is a wasteful number, since it uses less digits than its factorization.

165340728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 165340728 is about 12858.4885581471. The cubic root of 165340728 is about 548.8579365066.

The spelling of 165340728 in words is "one hundred sixty-five million, three hundred forty thousand, seven hundred twenty-eight".