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28040320 = 275711569
BaseRepresentation
bin110101011110…
…1110010000000
31221202121002101
41222331302000
524134242240
62441000144
7460224130
oct152756200
957677071
1028040320
1114912120
129483054
135a6a009
143a1cac0
1526dd39a
hex1abdc80

28040320 has 128 divisors (see below), whose sum is σ = 83721600. Its totient is φ = 8724480.

The previous prime is 28040279. The next prime is 28040323. The reversal of 28040320 is 2304082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (28040323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48996 + ... + 49564.

It is an arithmetic number, because the mean of its divisors is an integer number (654075).

Almost surely, 228040320 is an apocalyptic number.

28040320 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 28040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41860800).

28040320 is an abundant number, since it is smaller than the sum of its proper divisors (55681280).

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

28040320 is a wasteful number, since it uses less digits than its factorization.

28040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 28040320 is about 5295.3111334463. The cubic root of 28040320 is about 303.8045835511.

It can be divided in two parts, 280 and 40320, that multiplied together give a square (11289600 = 33602).

The spelling of 28040320 in words is "twenty-eight million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 569 616 640 704 770 880 896 1120 1138 1232 1408 1540 1760 2240 2276 2464 2845 3080 3520 3983 4480 4552 4928 5690 6160 6259 7040 7966 9104 9856 11380 12320 12518 15932 18208 19915 22760 24640 25036 31295 31864 36416 39830 43813 45520 49280 50072 62590 63728 72832 79660 87626 91040 100144 125180 127456 159320 175252 182080 200288 219065 250360 254912 318640 350504 364160 400576 438130 500720 509824 637280 701008 801152 876260 1001440 1274560 1402016 1752520 2002880 2549120 2804032 3505040 4005760 5608064 7010080 14020160 28040320