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28574561240 = 23531431992693
BaseRepresentation
bin11010100111001011…
…010011001111011000
32201202102002002222222
4122213023103033120
5432010041424430
621043232003212
72031050522501
oct324713231730
981672062888
1028574561240
111113365a875
125655690508
132904c7a804
141550dd3ba8
15b2390b9e5
hex6a72d33d8

28574561240 has 128 divisors (see below), whose sum is σ = 68276736000. Its totient is φ = 10745602560.

The previous prime is 28574561233. The next prime is 28574561261. The reversal of 28574561240 is 4216547582.

It is a junction number, because it is equal to n+sod(n) for n = 28574561191 and 28574561200.

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, 10609334 + ... + 10612026.

It is an arithmetic number, because the mean of its divisors is an integer number (533412000).

Almost surely, 228574561240 is an apocalyptic number.

28574561240 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 28574561240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34138368000).

28574561240 is an abundant number, since it is smaller than the sum of its proper divisors (39702174760).

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

28574561240 is a wasteful number, since it uses less digits than its factorization.

28574561240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 28574561240 in words is "twenty-eight billion, five hundred seventy-four million, five hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 199 215 248 310 344 398 430 620 796 860 995 1240 1333 1592 1720 1990 2666 2693 3980 5332 5386 6169 6665 7960 8557 10664 10772 12338 13330 13465 17114 21544 24676 26660 26930 30845 34228 42785 49352 53320 53860 61690 68456 83483 85570 107720 115799 123380 166966 171140 231598 246760 265267 333932 342280 417415 463196 530534 535907 578995 667864 834830 926392 1061068 1071814 1157990 1326335 1669660 2122136 2143628 2315980 2652670 2679535 3339320 3589769 4287256 4631960 5305340 5359070 7179538 10610680 10718140 14359076 16613117 17948845 21436280 23044001 28718152 33226234 35897690 46088002 66452468 71795380 83065585 92176004 115220005 132904936 143590760 166131170 184352008 230440010 332262340 460880020 664524680 714364031 921760040 1428728062 2857456124 3571820155 5714912248 7143640310 14287280620 28574561240