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28978656 = 2537291487
BaseRepresentation
bin110111010001…
…0110111100000
32000112021020120
41232202313200
524404304111
62513040240
7501212610
oct156426740
960467216
1028978656
11153a3103
129856080
136008145
143bc4a40
152826406
hex1ba2de0

28978656 has 96 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 7988736.

The previous prime is 28978637. The next prime is 28978657. The reversal of 28978656 is 65687982.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

Its product of digits (1451520) is a multiple of the sum of its prime factors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 28978599 and 28978608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28978657) 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, 18745 + ... + 20231.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 228978656 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 28978656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

28978656 is an abundant number, since it is smaller than the sum of its proper divisors (61015584).

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

28978656 is a wasteful number, since it uses less digits than its factorization.

28978656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1528 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 28978656 is about 5383.1827017109. The cubic root of 28978656 is about 307.1562898964.

The spelling of 28978656 in words is "twenty-eight million, nine hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1487 1624 2436 2784 2974 3248 4461 4872 5948 6496 8922 9744 10409 11896 17844 19488 20818 23792 31227 35688 41636 43123 47584 62454 71376 83272 86246 124908 129369 142752 166544 172492 249816 258738 301861 333088 344984 499632 517476 603722 689968 905583 999264 1034952 1207444 1379936 1811166 2069904 2414888 3622332 4139808 4829776 7244664 9659552 14489328 28978656