Search a number
-
+
168728928 = 2536128813
BaseRepresentation
bin10100000111010…
…01100101100000
3102202111022120120
422003221211200
5321143311203
624424240240
74116113034
oct1203514540
9382438516
10168728928
11872745a5
1248610080
1328c58904
14185a21c4
15ec2db53
hexa0e9960

168728928 has 48 divisors (see below), whose sum is σ = 450189936. Its totient is φ = 55319040.

The previous prime is 168728921. The next prime is 168728953. The reversal of 168728928 is 829827861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1687289282 = 56938902288058368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168728921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8551 + ... + 20262.

It is an arithmetic number, because the mean of its divisors is an integer number (9378957).

Almost surely, 2168728928 is an apocalyptic number.

It is an amenable number.

168728928 is an abundant number, since it is smaller than the sum of its proper divisors (281461008).

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

168728928 is a wasteful number, since it uses less digits than its factorization.

168728928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28887 (or 28879 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 168728928 is about 12989.5699697873. The cubic root of 168728928 is about 552.5817223833.

The spelling of 168728928 in words is "one hundred sixty-eight million, seven hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 28813 57626 86439 115252 172878 230504 345756 461008 691512 922016 1383024 1757593 2766048 3515186 5272779 7030372 10545558 14060744 21091116 28121488 42182232 56242976 84364464 168728928