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28878173040 = 2435593675557
BaseRepresentation
bin11010111001010001…
…011111001101110000
32202112120101012002110
4122321101133031300
5433120303014130
621133315245320
72041425264213
oct327121371560
982476335073
1028878173040
1111279a80912
12571b2a9840
132952b41572
14157d46777a
15b403d0ab0
hex6b945f370

28878173040 has 160 divisors (see below), whose sum is σ = 91304156160. Its totient is φ = 7548337152.

The previous prime is 28878172991. The next prime is 28878173047. The reversal of 28878173040 is 4037187882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28878173047) by changing a digit.

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, 5193942 + ... + 5199498.

It is an arithmetic number, because the mean of its divisors is an integer number (570650976).

Almost surely, 228878173040 is an apocalyptic number.

28878173040 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 28878173040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45652078080).

28878173040 is an abundant number, since it is smaller than the sum of its proper divisors (62425983120).

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

28878173040 is a wasteful number, since it uses less digits than its factorization.

28878173040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 28878173040 in words is "twenty-eight billion, eight hundred seventy-eight million, one hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 367 472 590 708 734 885 944 1101 1180 1416 1468 1770 1835 2202 2360 2832 2936 3540 3670 4404 4720 5505 5557 5872 7080 7340 8808 11010 11114 14160 14680 16671 17616 21653 22020 22228 27785 29360 33342 43306 44040 44456 55570 64959 66684 83355 86612 88080 88912 108265 111140 129918 133368 166710 173224 216530 222280 259836 266736 324795 327863 333420 346448 433060 444560 519672 649590 655726 666840 866120 983589 1039344 1299180 1311452 1333680 1639315 1732240 1967178 2039419 2598360 2622904 3278630 3934356 4078838 4917945 5196720 5245808 6118257 6557260 7868712 8157676 9835890 10197095 12236514 13114520 15737424 16315352 19671780 20394190 24473028 26229040 30591285 32630704 39343560 40788380 48946056 61182570 78687120 81576760 97892112 120325721 122365140 163153520 240651442 244730280 360977163 481302884 489460560 601628605 721954326 962605768 1203257210 1443908652 1804885815 1925211536 2406514420 2887817304 3609771630 4813028840 5775634608 7219543260 9626057680 14439086520 28878173040