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28679422500 = 22325411292
BaseRepresentation
bin11010101101011011…
…010100001000100100
32202000201101121121100
4122231123110020210
5432213413010000
621101455320100
72033463032451
oct325533241044
982021347540
1028679422500
1111187871673
125684820030
132920903bb1
141560ccc828
15b2cc21a00
hex6ad6d4224

28679422500 has 135 divisors (see below), whose sum is σ = 90670320741. Its totient is φ = 7641072000.

The previous prime is 28679422493. The next prime is 28679422531. The reversal of 28679422500 is 522497682.

The square root of 28679422500 is 169350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 28675358244 + 4064256 = 169338^2 + 2016^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25401936 + ... + 25403064.

Almost surely, 228679422500 is an apocalyptic number.

28679422500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28679422500 is the 169350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28679422500

28679422500 is an abundant number, since it is smaller than the sum of its proper divisors (61990898241).

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

28679422500 is an equidigital number, since it uses as much as digits as its factorization.

28679422500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28679422500 in words is "twenty-eight billion, six hundred seventy-nine million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1129 1250 1500 1875 2250 2258 2500 3387 3750 4500 4516 5625 5645 6774 7500 10161 11250 11290 13548 16935 20322 22500 22580 28225 33870 40644 50805 56450 67740 84675 101610 112900 141125 169350 203220 254025 282250 338700 423375 508050 564500 705625 846750 1016100 1270125 1274641 1411250 1693500 2116875 2540250 2549282 2822500 3823923 4233750 5080500 5098564 6350625 6373205 7647846 8467500 11471769 12701250 12746410 15295692 19119615 22943538 25402500 25492820 31866025 38239230 45887076 57358845 63732050 76478460 95598075 114717690 127464100 159330125 191196150 229435380 286794225 318660250 382392300 477990375 573588450 637320500 796650625 955980750 1147176900 1433971125 1593301250 1911961500 2389951875 2867942250 3186602500 4779903750 5735884500 7169855625 9559807500 14339711250 28679422500