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28334208 = 273783127
BaseRepresentation
bin110110000010…
…1100010000000
31222022112020010
41230011202000
524223143313
62451144520
7462560010
oct154054200
958275203
1028334208
1114aa2a01
1295a5140
135b40a06
143a97c40
15274a4c3
hex1b05880

28334208 has 128 divisors (see below), whose sum is σ = 87736320. Its totient is φ = 7934976.

The previous prime is 28334197. The next prime is 28334209. The reversal of 28334208 is 80243382.

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 (28334209) 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, 223041 + ... + 223167.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 228334208 is an apocalyptic number.

28334208 is a gapful number since it is divisible by the number (28) 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 28334208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43868160).

28334208 is an abundant number, since it is smaller than the sum of its proper divisors (59402112).

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

28334208 is a wasteful number, since it uses less digits than its factorization.

28334208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 28334208 is about 5322.9886342167. The cubic root of 28334208 is about 304.8622794871.

The spelling of 28334208 in words is "twenty-eight million, three hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 127 128 166 168 192 224 249 254 332 336 381 384 448 498 508 581 664 672 762 889 896 996 1016 1162 1328 1344 1524 1743 1778 1992 2032 2324 2656 2667 2688 3048 3486 3556 3984 4064 4648 5312 5334 6096 6972 7112 7968 8128 9296 10541 10624 10668 12192 13944 14224 15936 16256 18592 21082 21336 24384 27888 28448 31623 31872 37184 42164 42672 48768 55776 56896 63246 73787 74368 84328 85344 111552 113792 126492 147574 168656 170688 221361 223104 252984 295148 337312 341376 442722 505968 590296 674624 885444 1011936 1180592 1349248 1770888 2023872 2361184 3541776 4047744 4722368 7083552 9444736 14167104 28334208