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28690816 = 277114171
BaseRepresentation
bin110110101110…
…0100110000000
31222222122101211
41231130212000
524321101231
62502535504
7465603460
oct155344600
958878354
1028690816
1115216920
129737594
135c3711b
143b4bba0
1527baeb1
hex1b5c980

28690816 has 128 divisors (see below), whose sum is σ = 74027520. Its totient is φ = 10752000.

The previous prime is 28690811. The next prime is 28690819. The reversal of 28690816 is 61809682.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28690811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404061 + ... + 404131.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 228690816 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 28690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

28690816 is an abundant number, since it is smaller than the sum of its proper divisors (45336704).

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

28690816 is a wasteful number, since it uses less digits than its factorization.

28690816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 28690816 is about 5356.3808677128. The cubic root of 28690816 is about 306.1359271944.

The spelling of 28690816 in words is "twenty-eight million, six hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 71 77 82 88 112 128 142 154 164 176 224 284 287 308 328 352 448 451 497 568 574 616 656 704 781 896 902 994 1136 1148 1232 1312 1408 1562 1804 1988 2272 2296 2464 2624 2911 3124 3157 3608 3976 4544 4592 4928 5248 5467 5822 6248 6314 7216 7952 9088 9184 9856 10934 11644 12496 12628 14432 15904 18368 20377 21868 23288 24992 25256 28864 31808 32021 36736 40754 43736 46576 49984 50512 57728 63616 64042 81508 87472 93152 99968 101024 128084 163016 174944 186304 202048 224147 256168 326032 349888 372608 404096 448294 512336 652064 699776 896588 1024672 1304128 1793176 2049344 2608256 3586352 4098688 7172704 14345408 28690816