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28871808 = 273723467
BaseRepresentation
bin110111000100…
…0110010000000
32000022211200020
41232020302000
524342344213
62510453440
7500256240
oct156106200
960284606
1028871808
111532a8a9
129804280
135c9b614
143b97b20
152804923
hex1b88c80

28871808 has 128 divisors (see below), whose sum is σ = 91653120. Its totient is φ = 7873536.

The previous prime is 28871789. The next prime is 28871809. The reversal of 28871808 is 80817882.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 28871808.

It is not an unprimeable number, because it can be changed into a prime (28871809) 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, 61591 + ... + 62057.

It is an arithmetic number, because the mean of its divisors is an integer number (716040).

Almost surely, 228871808 is an apocalyptic number.

28871808 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 28871808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45826560).

28871808 is an abundant number, since it is smaller than the sum of its proper divisors (62781312).

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

28871808 is a wasteful number, since it uses less digits than its factorization.

28871808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 28871808 is about 5373.2492962825. The cubic root of 28871808 is about 306.7783168338.

The spelling of 28871808 in words is "twenty-eight million, eight hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 467 483 552 644 672 736 896 934 966 1104 1288 1344 1401 1472 1868 1932 2208 2576 2688 2802 2944 3269 3736 3864 4416 5152 5604 6538 7472 7728 8832 9807 10304 10741 11208 13076 14944 15456 19614 20608 21482 22416 26152 29888 30912 32223 39228 42964 44832 52304 59776 61824 64446 75187 78456 85928 89664 104608 128892 150374 156912 171856 179328 209216 225561 257784 300748 313824 343712 418432 451122 515568 601496 627648 687424 902244 1031136 1202992 1255296 1374848 1804488 2062272 2405984 3608976 4124544 4811968 7217952 9623936 14435904 28871808