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28828008 = 23331121103
BaseRepresentation
bin110110111111…
…0000101101000
32000020121121000
41231332011220
524334444013
62505515000
7500014446
oct155760550
960217530
1028828008
11152aaa00
1297a2a60
135c846c1
143b85b96
1527e6973
hex1b7e168

28828008 has 96 divisors (see below), whose sum is σ = 88099200. Its totient is φ = 8727840.

The previous prime is 28828003. The next prime is 28828021. The reversal of 28828008 is 80082882.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28828003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25585 + ... + 26687.

It is an arithmetic number, because the mean of its divisors is an integer number (917700).

Almost surely, 228828008 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 28828008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44049600).

28828008 is an abundant number, since it is smaller than the sum of its proper divisors (59271192).

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

28828008 is a wasteful number, since it uses less digits than its factorization.

28828008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 28828008 is about 5369.1720032050. The cubic root of 28828008 is about 306.6231055538.

The spelling of 28828008 in words is "twenty-eight million, eight hundred twenty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1103 1188 1452 2178 2206 2376 2904 3267 3309 4356 4412 6534 6618 8712 8824 9927 12133 13068 13236 19854 24266 26136 26472 29781 36399 39708 48532 59562 72798 79416 97064 109197 119124 133463 145596 218394 238248 266926 291192 327591 400389 436788 533852 655182 800778 873576 1067704 1201167 1310364 1601556 2402334 2620728 3203112 3603501 4804668 7207002 9609336 14414004 28828008