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28040013600 = 2535230373847
BaseRepresentation
bin11010000111010100…
…001010011100100000
32200101011020021111020
4122013110022130200
5424411220413400
620514214445440
72011600116534
oct320724123440
980334207436
1028040013600
1110989947265
125526663880
13284b2ba831
141500007bc4
15ae1a1c2a0
hex68750a720

28040013600 has 144 divisors (see below), whose sum is σ = 91324029888. Its totient is φ = 7472931840.

The previous prime is 28040013583. The next prime is 28040013623. The reversal of 28040013600 is 631004082.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7286877 + ... + 7290723.

It is an arithmetic number, because the mean of its divisors is an integer number (634194652).

Almost surely, 228040013600 is an apocalyptic number.

28040013600 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 28040013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45662014944).

28040013600 is an abundant number, since it is smaller than the sum of its proper divisors (63284016288).

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

28040013600 is a wasteful number, since it uses less digits than its factorization.

28040013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 28040013600 its reverse (631004082), we get a palindrome (28671017682).

The spelling of 28040013600 in words is "twenty-eight billion, forty million, thirteen thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 3037 3847 6074 7694 9111 11541 12148 15185 15388 18222 19235 23082 24296 30370 30776 36444 38470 45555 46164 48592 57705 60740 61552 72888 75925 76940 91110 92328 96175 97184 115410 121480 123104 145776 151850 153880 182220 184656 192350 227775 230820 242960 288525 291552 303700 307760 364440 369312 384700 455550 461640 485920 577050 607400 615520 728880 769400 911100 923280 1154100 1214800 1457760 1538800 1822200 1846560 2308200 2429600 3077600 3644400 4616400 7288800 9232800 11683339 23366678 35050017 46733356 58416695 70100034 93466712 116833390 140200068 175250085 186933424 233666780 280400136 292083475 350500170 373866848 467333560 560800272 584166950 701000340 876250425 934667120 1121600544 1168333900 1402000680 1752500850 1869334240 2336667800 2804001360 3505001700 4673335600 5608002720 7010003400 9346671200 14020006800 28040013600