Search a number
-
+
28058017440 = 2535192161923
BaseRepresentation
bin11010001000011000…
…110101111010100000
32200102102002222010010
4122020120311322200
5424430323024230
620520100404520
72012206133055
oct321030657240
980372088103
1028058017440
1110999023872
1255306a6740
132851c524ab
14150257302c
15ae33c69b0
hex688635ea0

28058017440 has 144 divisors (see below), whose sum is σ = 93279882528. Its totient is φ = 7088297472.

The previous prime is 28058017433. The next prime is 28058017441. The reversal of 28058017440 is 4471085082.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (28058017441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92319 + ... + 254241.

It is an arithmetic number, because the mean of its divisors is an integer number (647776962).

Almost surely, 228058017440 is an apocalyptic number.

28058017440 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 28058017440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46639941264).

28058017440 is an abundant number, since it is smaller than the sum of its proper divisors (65221865088).

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

28058017440 is a wasteful number, since it uses less digits than its factorization.

28058017440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161979 (or 161952 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 28058017440 in words is "twenty-eight billion, fifty-eight million, seventeen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 361 380 456 480 570 608 722 760 912 1083 1140 1444 1520 1805 1824 2166 2280 2888 3040 3610 4332 4560 5415 5776 7220 8664 9120 10830 11552 14440 17328 21660 28880 34656 43320 57760 86640 161923 173280 323846 485769 647692 809615 971538 1295384 1619230 1943076 2428845 2590768 3076537 3238460 3886152 4857690 5181536 6153074 6476920 7772304 9229611 9715380 12306148 12953840 15382685 15544608 18459222 19430760 24612296 25907680 30765370 36918444 38861520 46148055 49224592 58454203 61530740 73836888 77723040 92296110 98449184 116908406 123061480 147673776 175362609 184592220 233816812 246122960 292271015 295347552 350725218 369184440 467633624 492245920 584542030 701450436 738368880 876813045 935267248 1169084060 1402900872 1476737760 1753626090 1870534496 2338168120 2805801744 3507252180 4676336240 5611603488 7014504360 9352672480 14029008720 28058017440