Search a number
-
+
28199581440 = 283529253229
BaseRepresentation
bin11010010000110100…
…110111011100000000
32200210021111011102020
4122100310313130000
5430223043101230
620542114521440
72015545326102
oct322064673400
980707434366
1028199581440
1110a60a23a08
12556bb96280
132875389684
1415172a3572
15b00a3b810
hex690d37700

28199581440 has 144 divisors (see below), whose sum is σ = 93168381600. Its totient is φ = 7260553216.

The previous prime is 28199581387. The next prime is 28199581447. The reversal of 28199581440 is 4418599182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28199581447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15255 + ... + 237974.

It is an arithmetic number, because the mean of its divisors is an integer number (647002650).

Almost surely, 228199581440 is an apocalyptic number.

28199581440 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 28199581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46584190800).

28199581440 is an abundant number, since it is smaller than the sum of its proper divisors (64968800160).

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

28199581440 is a wasteful number, since it uses less digits than its factorization.

28199581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253282 (or 253268 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 28199581440 in words is "twenty-eight billion, one hundred ninety-nine million, five hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 960 1160 1280 1392 1740 1856 1920 2320 2784 3480 3712 3840 4640 5568 6960 7424 9280 11136 13920 18560 22272 27840 37120 55680 111360 253229 506458 759687 1012916 1266145 1519374 2025832 2532290 3038748 3798435 4051664 5064580 6077496 7343641 7596870 8103328 10129160 12154992 14687282 15193740 16206656 20258320 22030923 24309984 29374564 30387480 32413312 36718205 40516640 44061846 48619968 58749128 60774960 64826624 73436410 81033280 88123692 97239936 110154615 117498256 121549920 146872820 162066560 176247384 194479872 220309230 234996512 243099840 293745640 324133120 352494768 440618460 469993024 486199680 587491280 704989536 881236920 939986048 972399360 1174982560 1409979072 1762473840 1879972096 2349965120 2819958144 3524947680 4699930240 5639916288 7049895360 9399860480 14099790720 28199581440