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28664496 = 243379479
BaseRepresentation
bin110110101011…
…0001010110000
31222221022022000
41231112022300
524314230441
62502214000
7465433650
oct155261260
958838260
1028664496
11151a9073
129724300
135c28153
143b42360
1527b32b6
hex1b562b0

28664496 has 80 divisors (see below), whose sum is σ = 94041600. Its totient is φ = 8188992.

The previous prime is 28664479. The next prime is 28664539. The reversal of 28664496 is 69446682.

It is a super-3 number, since 3×286644963 (a number of 23 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1716 + ... + 7763.

It is an arithmetic number, because the mean of its divisors is an integer number (1175520).

Almost surely, 228664496 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 28664496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47020800).

28664496 is an abundant number, since it is smaller than the sum of its proper divisors (65377104).

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

28664496 is a wasteful number, since it uses less digits than its factorization.

28664496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9503 (or 9491 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 28664496 is about 5353.9234211931. The cubic root of 28664496 is about 306.0422855827.

The spelling of 28664496 in words is "twenty-eight million, six hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 9479 18958 28437 37916 56874 66353 75832 85311 113748 132706 151664 170622 199059 227496 255933 265412 341244 398118 454992 511866 530824 597177 682488 796236 1023732 1061648 1194354 1364976 1592472 1791531 2047464 2388708 3184944 3583062 4094928 4777416 7166124 9554832 14332248 28664496