Search a number
-
+
28518240 = 2535195359
BaseRepresentation
bin110110011001…
…0011101100000
31222122212200010
41230302131200
524300040430
62455124520
7464254362
oct154623540
958585603
1028518240
11151091a3
129673740
135ba66ca
143b04d32
152784cb0
hex1b32760

28518240 has 192 divisors, whose sum is σ = 97977600. Its totient is φ = 6948864.

The previous prime is 28518239. The next prime is 28518241. The reversal of 28518240 is 4281582.

It is an interprime number because it is at equal distance from previous prime (28518239) and next prime (28518241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28518198 and 28518207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28518241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483331 + ... + 483389.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 228518240 is an apocalyptic number.

28518240 is a gapful number since it is divisible by the number (20) 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 28518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

28518240 is an abundant number, since it is smaller than the sum of its proper divisors (69459360).

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

28518240 is a wasteful number, since it uses less digits than its factorization.

28518240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 28518240 is about 5340.2471852902. The cubic root of 28518240 is about 305.5208872084.

It can be divided in two parts, 285 and 18240, that multiplied together give a square (5198400 = 22802).

The spelling of 28518240 in words is "twenty-eight million, five hundred eighteen thousand, two hundred forty".