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28200320 = 275139317
BaseRepresentation
bin110101110010…
…0110110000000
31222001201120022
41223210312000
524204402240
62444233012
7461461451
oct153446600
958051508
1028200320
1114a11355
12953b768
135ac4aa5
143a61128
1527209b5
hex1ae4d80

28200320 has 64 divisors (see below), whose sum is σ = 68115600. Its totient is φ = 11163648.

The previous prime is 28200287. The next prime is 28200349. The reversal of 28200320 is 2300282.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88802 + ... + 89118.

Almost surely, 228200320 is an apocalyptic number.

28200320 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 28200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34057800).

28200320 is an abundant number, since it is smaller than the sum of its proper divisors (39915280).

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

28200320 is a wasteful number, since it uses less digits than its factorization.

28200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 28200320 is about 5310.3973485983. The cubic root of 28200320 is about 304.3813312537.

The spelling of 28200320 in words is "twenty-eight million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 139 160 278 317 320 556 634 640 695 1112 1268 1390 1585 2224 2536 2780 3170 4448 5072 5560 6340 8896 10144 11120 12680 17792 20288 22240 25360 40576 44063 44480 50720 88126 88960 101440 176252 202880 220315 352504 440630 705008 881260 1410016 1762520 2820032 3525040 5640064 7050080 14100160 28200320