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28921728 = 2731141167
BaseRepresentation
bin110111001010…
…0111110000000
32000102101011010
41232110332000
524400443403
62511520520
7500554623
oct156247600
960371133
1028921728
1115364360
129829140
135cb8264
143babdba
152814603
hex1b94f80

28921728 has 128 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 8499200.

The previous prime is 28921727. The next prime is 28921771. The reversal of 28921728 is 82712982.

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

Its product of digits (32256) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28921723) 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, 173101 + ... + 173267.

It is an arithmetic number, because the mean of its divisors is an integer number (674730).

Almost surely, 228921728 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 28921728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720).

28921728 is an abundant number, since it is smaller than the sum of its proper divisors (57443712).

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

28921728 is a wasteful number, since it uses less digits than its factorization.

28921728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 28921728 is about 5377.8925240283. The cubic root of 28921728 is about 306.9550238802.

The spelling of 28921728 in words is "twenty-eight million, nine hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 167 176 192 246 264 328 334 352 384 451 492 501 528 656 668 704 902 984 1002 1056 1312 1336 1353 1408 1804 1837 1968 2004 2112 2624 2672 2706 3608 3674 3936 4008 4224 5248 5344 5412 5511 6847 7216 7348 7872 8016 10688 10824 11022 13694 14432 14696 15744 16032 20541 21376 21648 22044 27388 28864 29392 32064 41082 43296 44088 54776 57728 58784 64128 75317 82164 86592 88176 109552 117568 150634 164328 173184 176352 219104 225951 235136 301268 328656 352704 438208 451902 602536 657312 705408 876416 903804 1205072 1314624 1807608 2410144 2629248 3615216 4820288 7230432 9640576 14460864 28921728