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28500061680 = 2433523955207
BaseRepresentation
bin11010100010101111…
…000110110111110000
32201120012220010211000
4122202233012313300
5431332003433210
621032011122000
72026154345556
oct324257066760
981505803730
1028500061680
11110a55a6192
125634743300
1328c26c4c2c
14154515dbd6
15b1c0e2ac0
hex6a2bc6df0

28500061680 has 160 divisors (see below), whose sum is σ = 98579404800. Its totient is φ = 7568080128.

The previous prime is 28500061679. The next prime is 28500061697. The reversal of 28500061680 is 8616000582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488637 + ... + 543843.

It is an arithmetic number, because the mean of its divisors is an integer number (616121280).

Almost surely, 228500061680 is an apocalyptic number.

28500061680 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 28500061680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49289702400).

28500061680 is an abundant number, since it is smaller than the sum of its proper divisors (70079343120).

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

28500061680 is a wasteful number, since it uses less digits than its factorization.

28500061680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55468 (or 55456 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 28500061680 in words is "twenty-eight billion, five hundred million, sixty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 239 240 270 360 432 478 540 717 720 956 1080 1195 1434 1912 2151 2160 2390 2868 3585 3824 4302 4780 5736 6453 7170 8604 9560 10755 11472 12906 14340 17208 19120 21510 25812 28680 32265 34416 43020 51624 55207 57360 64530 86040 103248 110414 129060 165621 172080 220828 258120 276035 331242 441656 496863 516240 552070 662484 828105 883312 993726 1104140 1324968 1490589 1656210 1987452 2208280 2484315 2649936 2981178 3312420 3974904 4416560 4968630 5962356 6624840 7452945 7949808 9937260 11924712 13194473 13249680 14905890 19874520 23849424 26388946 29811780 39583419 39749040 52777892 59623560 65972365 79166838 105555784 118750257 119247120 131944730 158333676 197917095 211111568 237500514 263889460 316667352 356250771 395834190 475001028 527778920 593751285 633334704 712501542 791668380 950002056 1055557840 1187502570 1425003084 1583336760 1781253855 1900004112 2375005140 2850006168 3166673520 3562507710 4750010280 5700012336 7125015420 9500020560 14250030840 28500061680