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28671520 = 2551783127
BaseRepresentation
bin110110101011…
…1111000100000
31222221122221011
41231113320200
524314442040
62502310304
7465463303
oct155277040
958848834
1028671520
1115203379
129728394
135c2b3c7
143b44b3a
1527b53ea
hex1b57e20

28671520 has 96 divisors (see below), whose sum is σ = 73156608. Its totient is φ = 10579968.

The previous prime is 28671509. The next prime is 28671521. The reversal of 28671520 is 2517682.

It is a super-2 number, since 2×286715202 = 1644112118220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28671521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225697 + ... + 225823.

It is an arithmetic number, because the mean of its divisors is an integer number (762048).

Almost surely, 228671520 is an apocalyptic number.

28671520 is a gapful number since it is divisible by the number (20) 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 28671520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36578304).

28671520 is an abundant number, since it is smaller than the sum of its proper divisors (44485088).

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

28671520 is a wasteful number, since it uses less digits than its factorization.

28671520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 28671520 is about 5354.5793485576. The cubic root of 28671520 is about 306.0672812598.

The spelling of 28671520 in words is "twenty-eight million, six hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 83 85 127 136 160 166 170 254 272 332 340 415 508 544 635 664 680 830 1016 1270 1328 1360 1411 1660 2032 2159 2540 2656 2720 2822 3320 4064 4318 5080 5644 6640 7055 8636 10160 10541 10795 11288 13280 14110 17272 20320 21082 21590 22576 28220 34544 42164 43180 45152 52705 56440 69088 84328 86360 105410 112880 168656 172720 179197 210820 225760 337312 345440 358394 421640 716788 843280 895985 1433576 1686560 1791970 2867152 3583940 5734304 7167880 14335760 28671520