Search a number
-
+
28268362240 = 29533232
BaseRepresentation
bin11010010100111011…
…001111101000000000
32200222001220120221021
4122110323033220000
5430343200042430
620553013035224
72020342054156
oct322473175000
980861816837
1028268362240
1110a96831a48
12558b025b14
1328866bc281
1415224893d6
15b06ac607a
hex694ecfa00

28268362240 has 60 divisors (see below), whose sum is σ = 67798218114. Its totient is φ = 11303942144.

The previous prime is 28268362201. The next prime is 28268362249. The reversal of 28268362240 is 4226386282.

It can be written as a sum of positive squares in only one way, i.e., 25441526016 + 2826836224 = 159504^2 + 53168^2 .

It is not an unprimeable number, because it can be changed into a prime (28268362249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8505219 + ... + 8508541.

Almost surely, 228268362240 is an apocalyptic number.

28268362240 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 28268362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33899109057).

28268362240 is an abundant number, since it is smaller than the sum of its proper divisors (39529855874).

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

28268362240 is an frugal number, since it uses more digits than its factorization.

28268362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6669 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 28268362240 in words is "twenty-eight billion, two hundred sixty-eight million, three hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 3323 6646 13292 16615 26584 33230 53168 66460 106336 132920 212672 265840 425344 531680 850688 1063360 1701376 2126720 4253440 8506880 11042329 22084658 44169316 55211645 88338632 110423290 176677264 220846580 353354528 441693160 706709056 883386320 1413418112 1766772640 2826836224 3533545280 5653672448 7067090560 14134181120 28268362240