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28965507074980 = 22577113859210263
BaseRepresentation
bin1101001011000000011101…
…10000101000101110100100
310210120002000222202012011121
412211200032300220232210
512244032324302344410
6141334323101343324
76046455160535440
oct645401660505644
9123502028665147
1028965507074980
119258225684063
1232b9861867b44
131321588011208
14721d1bd11820
153536d52969da
hex1a580ec28ba4

28965507074980 has 96 divisors (see below), whose sum is σ = 70501754695680. Its totient is φ = 9790404274560.

The previous prime is 28965507074963. The next prime is 28965507074981. The reversal of 28965507074980 is 8947070556982.

It is a super-2 number, since 2×289655070749802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is not an unprimeable number, because it can be changed into a prime (28965507074981) 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, 137653329 + ... + 137863591.

It is an arithmetic number, because the mean of its divisors is an integer number (734393278080).

Almost surely, 228965507074980 is an apocalyptic number.

28965507074980 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 28965507074980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35250877347840).

28965507074980 is an abundant number, since it is smaller than the sum of its proper divisors (41536247620700).

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

28965507074980 is a wasteful number, since it uses less digits than its factorization.

28965507074980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224209 (or 224207 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 70.

The spelling of 28965507074980 in words is "twenty-eight trillion, nine hundred sixty-five billion, five hundred seven million, seventy-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 13859 27718 55436 69295 97013 138590 194026 210263 277180 388052 420526 485065 841052 970130 983989 1051315 1471841 1940260 1967978 2102630 2943682 3935956 4205260 4919945 5887364 6887923 7359205 9839890 13775846 14718410 14928673 19679780 27551692 29436820 29857346 34439615 59714692 68879230 74643365 104500711 137758460 149286730 209001422 298573460 418002844 522503555 1045007110 2090014220 2914034917 5828069834 11656139668 14570174585 20398244419 29140349170 40796488838 58280698340 81592977676 101991222095 203982444190 206896479107 407964888380 413792958214 827585916428 1034482395535 1448275353749 2068964791070 2896550707498 4137929582140 5793101414996 7241376768745 14482753537490 28965507074980