Search a number
-
+
28256811840 = 263259811393
BaseRepresentation
bin11010010100001111…
…001011101101000000
32200221021011202202200
4122110033023231000
5430332220434330
620551521313200
72020141636425
oct322417135500
980837152680
1028256811840
1110a90262a64
125587195800
1328841a6b0a
141520b1dd4c
15b05a93a60
hex6943cbb40

28256811840 has 84 divisors (see below), whose sum is σ = 97191668964. Its totient is φ = 7535149056.

The previous prime is 28256811839. The next prime is 28256811841. The reversal of 28256811840 is 4811865282.

28256811840 is a `hidden beast` number, since 2 + 8 + 2 + 568 + 1 + 1 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28256811839) and next prime (28256811841).

It can be written as a sum of positive squares in 2 ways, for example, as 14730191424 + 13526620416 = 121368^2 + 116304^2 .

It is a super-2 number, since 2×282568118402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28256811841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4902817 + ... + 4908576.

Almost surely, 228256811840 is an apocalyptic number.

28256811840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28256811840 is an abundant number, since it is smaller than the sum of its proper divisors (68934857124).

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

28256811840 is a wasteful number, since it uses less digits than its factorization.

28256811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9811416 (or 9811403 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 28256811840 in words is "twenty-eight billion, two hundred fifty-six million, eight hundred eleven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 9811393 19622786 29434179 39245572 49056965 58868358 78491144 88302537 98113930 117736716 147170895 156982288 176605074 196227860 235473432 294341790 313964576 353210148 392455720 441512685 470946864 588683580 627929152 706420296 784911440 883025370 941893728 1177367160 1412840592 1569822880 1766050740 1883787456 2354734320 2825681184 3139645760 3532101480 4709468640 5651362368 7064202960 9418937280 14128405920 28256811840