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28826496 = 273319439
BaseRepresentation
bin110110111110…
…1101110000000
32000020112112000
41231331232000
524334421441
62505504000
7500010156
oct155755600
960215460
1028826496
11152a9856
1297a2000
135c83aca
143b853d6
1527e62b6
hex1b7db80

28826496 has 128 divisors (see below), whose sum is σ = 89760000. Its totient is φ = 9082368.

The previous prime is 28826489. The next prime is 28826513. The reversal of 28826496 is 69462882.

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

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

It is a congruent number.

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, 65445 + ... + 65883.

It is an arithmetic number, because the mean of its divisors is an integer number (701250).

Almost surely, 228826496 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 28826496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44880000).

28826496 is an abundant number, since it is smaller than the sum of its proper divisors (60933504).

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

28826496 is a wasteful number, since it uses less digits than its factorization.

28826496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 463 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 28826496 is about 5369.0311975253. The cubic root of 28826496 is about 306.6177447690.

The spelling of 28826496 in words is "twenty-eight million, eight hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 439 456 513 576 608 684 864 878 912 1026 1152 1216 1317 1368 1728 1756 1824 2052 2432 2634 2736 3456 3512 3648 3951 4104 5268 5472 7024 7296 7902 8208 8341 10536 10944 11853 14048 15804 16416 16682 21072 21888 23706 25023 28096 31608 32832 33364 42144 47412 50046 56192 63216 65664 66728 75069 84288 94824 100092 126432 133456 150138 168576 189648 200184 225207 252864 266912 300276 379296 400368 450414 505728 533824 600552 758592 800736 900828 1067648 1201104 1517184 1601472 1801656 2402208 3202944 3603312 4804416 7206624 9608832 14413248 28826496