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28168008 = 23311234639
BaseRepresentation
bin110101101110…
…0111101001000
31222000002020120
41223130331020
524202334013
62443423240
7461265321
oct153347510
958002216
1028168008
111499a050
129524b20
135ab317b
143a53448
152716123
hex1adcf48

28168008 has 64 divisors (see below), whose sum is σ = 80179200. Its totient is φ = 8162880.

The previous prime is 28167947. The next prime is 28168009. The reversal of 28168008 is 80086182.

28168008 = T47 + T48 + ... + T552.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 28168008.

It is not an unprimeable number, because it can be changed into a prime (28168009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3753 + ... + 8391.

It is an arithmetic number, because the mean of its divisors is an integer number (1252800).

Almost surely, 228168008 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 28168008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40089600).

28168008 is an abundant number, since it is smaller than the sum of its proper divisors (52011192).

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

28168008 is a wasteful number, since it uses less digits than its factorization.

28168008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 28168008 is about 5307.3541430736. The cubic root of 28168008 is about 304.2650331838.

The spelling of 28168008 in words is "twenty-eight million, one hundred sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 4639 6072 9278 13917 18556 27834 37112 51029 55668 102058 106697 111336 153087 204116 213394 306174 320091 408232 426788 612348 640182 853576 1173667 1224696 1280364 2347334 2560728 3521001 4694668 7042002 9389336 14084004 28168008