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28551168 = 211321549
BaseRepresentation
bin110110011101…
…0100000000000
31222201112211200
41230322200000
524302114133
62455541200
7464452362
oct154724000
958645750
1028551168
1115130a08
12968a800
135bb86a9
143b12d32
15278e913
hex1b3a800

28551168 has 72 divisors (see below), whose sum is σ = 82514250. Its totient is φ = 9510912.

The previous prime is 28551163. The next prime is 28551169. The reversal of 28551168 is 86115582.

28551168 is a `hidden beast` number, since 2 + 85 + 511 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25887744 + 2663424 = 5088^2 + 1632^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28551163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17658 + ... + 19206.

Almost surely, 228551168 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 28551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41257125).

28551168 is an abundant number, since it is smaller than the sum of its proper divisors (53963082).

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

28551168 is a wasteful number, since it uses less digits than its factorization.

28551168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1554 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 28551168 is about 5343.3292992291. The cubic root of 28551168 is about 305.6384297861.

The spelling of 28551168 in words is "twenty-eight million, five hundred fifty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1549 2048 2304 3072 3098 4608 4647 6144 6196 9216 9294 12392 13941 18432 18588 24784 27882 37176 49568 55764 74352 99136 111528 148704 198272 223056 297408 396544 446112 594816 793088 892224 1189632 1586176 1784448 2379264 3172352 3568896 4758528 7137792 9517056 14275584 28551168