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28093000 = 2353132161
BaseRepresentation
bin110101100101…
…0101001001000
31221212021100111
41223022221020
524142434000
62442044104
7460533535
oct153125110
957767314
1028093000
1114948761
1294a9634
135a87ca0
143a33d8c
1526edcba
hex1acaa48

28093000 has 64 divisors (see below), whose sum is σ = 70827120. Its totient is φ = 10368000.

The previous prime is 28092997. The next prime is 28093003. The reversal of 28093000 is 39082.

It is an interprime number because it is at equal distance from previous prime (28092997) and next prime (28093003).

It can be written as a sum of positive squares in 8 ways, for example, as 66564 + 28026436 = 258^2 + 5294^2 .

It is not an unprimeable number, because it can be changed into a prime (28093003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11920 + ... + 14080.

Almost surely, 228093000 is an apocalyptic number.

28093000 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 28093000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35413560).

28093000 is an abundant number, since it is smaller than the sum of its proper divisors (42734120).

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

28093000 is a wasteful number, since it uses less digits than its factorization.

28093000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 28093000 is about 5300.2830113118. The cubic root of 28093000 is about 303.9947194374.

The spelling of 28093000 in words is "twenty-eight million, ninety-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2161 2600 3250 4322 6500 8644 10805 13000 17288 21610 28093 43220 54025 56186 86440 108050 112372 140465 216100 224744 270125 280930 432200 540250 561860 702325 1080500 1123720 1404650 2161000 2809300 3511625 5618600 7023250 14046500 28093000