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28029000 = 233539343
BaseRepresentation
bin110101011101…
…1000001001000
31221202000120010
41222323001020
524133412000
62440431520
7460146126
oct152730110
957660503
1028029000
111490466a
1294785a0
135a64b0c
143a18916
1526d9d50
hex1abb048

28029000 has 64 divisors (see below), whose sum is σ = 87459840. Its totient is φ = 7473600.

The previous prime is 28028999. The next prime is 28029041. The reversal of 28029000 is 92082.

28029000 = T343 + T344 + ... + T592.

It is an unprimeable number.

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, 1672 + ... + 7671.

It is an arithmetic number, because the mean of its divisors is an integer number (1366560).

Almost surely, 228029000 is an apocalyptic number.

28029000 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 28029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43729920).

28029000 is an abundant number, since it is smaller than the sum of its proper divisors (59430840).

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

28029000 is a wasteful number, since it uses less digits than its factorization.

28029000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9367 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 28029000 is about 5294.2421553986. The cubic root of 28029000 is about 303.7636956347.

The spelling of 28029000 in words is "twenty-eight million, twenty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 9343 18686 28029 37372 46715 56058 74744 93430 112116 140145 186860 224232 233575 280290 373720 467150 560580 700725 934300 1121160 1167875 1401450 1868600 2335750 2802900 3503625 4671500 5605800 7007250 9343000 14014500 28029000