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28396032 = 293719139
BaseRepresentation
bin110110001010…
…0101000000000
31222102200000220
41230110220000
524232133112
62452343040
7463235160
oct154245000
958380026
1028396032
11150353a5
129614a80
135b62bb2
143ab25a0
15275d98c
hex1b14a00

28396032 has 160 divisors (see below), whose sum is σ = 91660800. Its totient is φ = 7630848.

The previous prime is 28396019. The next prime is 28396033. The reversal of 28396032 is 23069382.

It is a junction number, because it is equal to n+sod(n) for n = 28395984 and 28396002.

It is not an unprimeable number, because it can be changed into a prime (28396033) 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, 204219 + ... + 204357.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 228396032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45830400).

28396032 is an abundant number, since it is smaller than the sum of its proper divisors (63264768).

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

28396032 is a wasteful number, since it uses less digits than its factorization.

28396032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 28396032 is about 5328.7927338188. The cubic root of 28396032 is about 305.0838504565.

The spelling of 28396032 in words is "twenty-eight million, three hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 139 152 168 192 224 228 256 266 278 304 336 384 399 417 448 456 512 532 556 608 672 768 798 834 896 912 973 1064 1112 1216 1344 1536 1596 1668 1792 1824 1946 2128 2224 2432 2641 2688 2919 3192 3336 3584 3648 3892 4256 4448 4864 5282 5376 5838 6384 6672 7296 7784 7923 8512 8896 9728 10564 10752 11676 12768 13344 14592 15568 15846 17024 17792 18487 21128 23352 25536 26688 29184 31136 31692 34048 35584 36974 42256 46704 51072 53376 55461 62272 63384 68096 71168 73948 84512 93408 102144 106752 110922 124544 126768 147896 169024 186816 204288 213504 221844 249088 253536 295792 338048 373632 443688 498176 507072 591584 676096 747264 887376 1014144 1183168 1352192 1494528 1774752 2028288 2366336 3549504 4056576 4732672 7099008 9465344 14198016 28396032