Search a number
-
+
28718160 = 2435119659
BaseRepresentation
bin110110110001…
…1010001010000
32000001000220120
41231203101100
524322440120
62503310240
7466046262
oct155432120
960030816
1028718160
1115235419
12974b380
135c466c3
143b57b32
1527c4140
hex1b63450

28718160 has 40 divisors (see below), whose sum is σ = 89027040. Its totient is φ = 7658112.

The previous prime is 28718153. The next prime is 28718161. The reversal of 28718160 is 6181782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28718161) 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, 59590 + ... + 60069.

It is an arithmetic number, because the mean of its divisors is an integer number (2225676).

Almost surely, 228718160 is an apocalyptic number.

28718160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28718160 is an abundant number, since it is smaller than the sum of its proper divisors (60308880).

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

28718160 is a wasteful number, since it uses less digits than its factorization.

28718160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119675 (or 119669 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 28718160 is about 5358.9327295647. The cubic root of 28718160 is about 306.2331513707.

The spelling of 28718160 in words is "twenty-eight million, seven hundred eighteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 119659 239318 358977 478636 598295 717954 957272 1196590 1435908 1794885 1914544 2393180 2871816 3589770 4786360 5743632 7179540 9572720 14359080 28718160