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28434678000 = 2435319249427
BaseRepresentation
bin11010011110110101…
…101100000011110000
32201101122212022021020
4122132311230003300
5431213234144000
621021313455440
72024431526601
oct323665540360
981348768236
1028434678000
11110716a8493
125616871580
1328b1cb1671
14153a5bdda8
15b164c9ba0
hex69ed6c0f0

28434678000 has 160 divisors (see below), whose sum is σ = 96498704640. Its totient is φ = 7183468800.

The previous prime is 28434677969. The next prime is 28434678037. The reversal of 28434678000 is 87643482.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10714 + ... + 238713.

It is an arithmetic number, because the mean of its divisors is an integer number (603116904).

Almost surely, 228434678000 is an apocalyptic number.

28434678000 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 28434678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48249352320).

28434678000 is an abundant number, since it is smaller than the sum of its proper divisors (68064026640).

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

28434678000 is a wasteful number, since it uses less digits than its factorization.

28434678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249472 (or 249456 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 28434678000 in words is "twenty-eight billion, four hundred thirty-four million, six hundred seventy-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 249427 498854 748281 997708 1247135 1496562 1995416 2494270 2993124 3741405 3990832 4739113 4988540 5986248 6235675 7482810 9478226 9977080 11972496 12471350 14217339 14965620 18707025 18956452 19954160 23695565 24942700 28434678 29931240 31178375 37414050 37912904 47391130 49885400 56869356 59862480 62356750 71086695 74828100 75825808 93535125 94782260 99770800 113738712 118477825 124713500 142173390 149656200 187070250 189564520 227477424 236955650 249427000 284346780 299312400 355433475 374140500 379129040 473911300 498854000 568693560 592389125 710866950 748281000 947822600 1137387120 1184778250 1421733900 1496562000 1777167375 1895645200 2369556500 2843467800 3554334750 4739113000 5686935600 7108669500 9478226000 14217339000 28434678000