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28312121280 = 2635281104953
BaseRepresentation
bin11010010111100010…
…001010111111000000
32201002010020210001110
4122113202022333000
5430440400340110
621001215003320
72021413026432
oct322742127700
981063223043
1028312121280
11110094aa843
1255a1809540
1328927a0ab1
1415281da652
15b0a86ba20
hex69788afc0

28312121280 has 112 divisors (see below), whose sum is σ = 90211741344. Its totient is φ = 7522959360.

The previous prime is 28312121219. The next prime is 28312121287. The reversal of 28312121280 is 8212121382.

It is a super-2 number, since 2×283121212802 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28312121287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217284 + ... + 322236.

Almost surely, 228312121280 is an apocalyptic number.

28312121280 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 28312121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45105870672).

28312121280 is an abundant number, since it is smaller than the sum of its proper divisors (61899620064).

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

28312121280 is a wasteful number, since it uses less digits than its factorization.

28312121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105254 (or 105244 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 28312121280 in words is "twenty-eight billion, three hundred twelve million, one hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 281 320 480 562 843 960 1124 1405 1686 2248 2810 3372 4215 4496 5620 6744 8430 8992 11240 13488 16860 17984 22480 26976 33720 44960 53952 67440 89920 104953 134880 209906 269760 314859 419812 524765 629718 839624 1049530 1259436 1574295 1679248 2099060 2518872 3148590 3358496 4198120 5037744 6297180 6716992 8396240 10075488 12594360 16792480 20150976 25188720 29491793 33584960 50377440 58983586 88475379 100754880 117967172 147458965 176950758 235934344 294917930 353901516 442376895 471868688 589835860 707803032 884753790 943737376 1179671720 1415606064 1769507580 1887474752 2359343440 2831212128 3539015160 4718686880 5662424256 7078030320 9437373760 14156060640 28312121280