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28334016 = 263319863
BaseRepresentation
bin110110000010…
…1011111000000
31222022111222000
41230011133000
524223142031
62451144000
7462556314
oct154053700
958274860
1028334016
1114aa2847
1295a5000
135b408b9
143a97b44
15274a3e6
hex1b057c0

28334016 has 112 divisors (see below), whose sum is σ = 87782400. Its totient is φ = 8937216.

The previous prime is 28334011. The next prime is 28334017. The reversal of 28334016 is 61043382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28334011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32401 + ... + 33263.

Almost surely, 228334016 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 28334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43891200).

28334016 is an abundant number, since it is smaller than the sum of its proper divisors (59448384).

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

28334016 is a wasteful number, since it uses less digits than its factorization.

28334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 28334016 is about 5322.9705992049. The cubic root of 28334016 is about 304.8615908767.

Adding to 28334016 its reverse (61043382), we get a palindrome (89377398).

The spelling of 28334016 in words is "twenty-eight million, three hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 863 864 912 1026 1216 1368 1726 1728 1824 2052 2589 2736 3452 3648 4104 5178 5472 6904 7767 8208 10356 10944 13808 15534 16397 16416 20712 23301 27616 31068 32794 32832 41424 46602 49191 55232 62136 65588 82848 93204 98382 124272 131176 147573 165696 186408 196764 248544 262352 295146 372816 393528 442719 497088 524704 590292 745632 787056 885438 1049408 1180584 1491264 1574112 1770876 2361168 3148224 3541752 4722336 7083504 9444672 14167008 28334016