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28523561040 = 24325133047389
BaseRepresentation
bin11010100100001000…
…110000000001010000
32201121212010000212200
4122210020300001100
5431404012423130
621034210523200
72026561161042
oct324410600120
981555100780
1028523561040
1111107896647
125640596500
1328c7532090
141548319a92
15b1e1d5760
hex6a4230050

28523561040 has 120 divisors (see below), whose sum is σ = 103160246280. Its totient is φ = 7021181952.

The previous prime is 28523560981. The next prime is 28523561057. The reversal of 28523561040 is 4016532582.

28523561040 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 35 + 610 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4296015936 + 24227545104 = 65544^2 + 155652^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28523560986 and 28523561004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514335 + ... + 1533054.

It is an arithmetic number, because the mean of its divisors is an integer number (859668719).

Almost surely, 228523561040 is an apocalyptic number.

28523561040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28523561040 is an abundant number, since it is smaller than the sum of its proper divisors (74636685240).

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

28523561040 is a wasteful number, since it uses less digits than its factorization.

28523561040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047421 (or 3047412 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 28523561040 in words is "twenty-eight billion, five hundred twenty-three million, five hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 3047389 6094778 9142167 12189556 15236945 18284334 24379112 27426501 30473890 36568668 39616057 45710835 48758224 54853002 60947780 73137336 79232114 91421670 109706004 118848171 121895560 137132505 146274672 158464228 182843340 198080285 219412008 237696342 243791120 274265010 316928456 356544513 365686680 396160570 438824016 475392684 548530020 594240855 633856912 713089026 731373360 792321140 950785368 1097060040 1188481710 1426178052 1584642280 1782722565 1901570736 2194120080 2376963420 2852356104 3169284560 3565445130 4753926840 5704712208 7130890260 9507853680 14261780520 28523561040