165248928 has 288 divisors, whose sum is σ = 561375360. Its totient is φ = 45619200.

The previous prime is 165248903. The next prime is 165248969. The reversal of 165248928 is 829842561.

165248928 is a `hidden beast` number, since 165 + 2 + 489 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1636078 + ... + 1636178.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2^165248928 is an apocalyptic number.

165248928 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 165248928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280687680).

165248928 is an abundant number, since it is smaller than the sum of its proper divisors (396126432).

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

165248928 is a wasteful number, since it uses less digits than its factorization.

165248928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 165248928 is about 12854.9184361473. The cubic root of 165248928 is about 548.7563392636.

It can be divided in two parts, 165248 and 928, that added together give a triangular number (166176 = T₅₇₆).

The spelling of 165248928 in words is "one hundred sixty-five million, two hundred forty-eight thousand, nine hundred twenty-eight".