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28169000 = 2353171657
BaseRepresentation
bin110101101110…
…1001100101000
31222000010121022
41223131030220
524202402000
62443432012
7461301236
oct153351450
958003538
1028169000
111499a872
129525608
135ab3762
143a53956
152716585
hex1add328

28169000 has 64 divisors (see below), whose sum is σ = 69834960. Its totient is φ = 10598400.

The previous prime is 28168991. The next prime is 28169033. The reversal of 28169000 is 96182.

It can be written as a sum of positive squares in 8 ways, for example, as 1522756 + 26646244 = 1234^2 + 5162^2 .

It is a super-2 number, since 2×281690002 = 1586985122000000, which contains 22 as substring.

It is an unprimeable number.

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, 16172 + ... + 17828.

Almost surely, 228169000 is an apocalyptic number.

28169000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28169000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34917480).

28169000 is an abundant number, since it is smaller than the sum of its proper divisors (41665960).

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

28169000 is a wasteful number, since it uses less digits than its factorization.

28169000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 28169000 is about 5307.4475974804. The cubic root of 28169000 is about 304.2686049352.

The spelling of 28169000 in words is "twenty-eight million, one hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1657 1700 2125 3314 3400 4250 6628 8285 8500 13256 16570 17000 28169 33140 41425 56338 66280 82850 112676 140845 165700 207125 225352 281690 331400 414250 563380 704225 828500 1126760 1408450 1657000 2816900 3521125 5633800 7042250 14084500 28169000