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28198000 = 245323613
BaseRepresentation
bin110101110010…
…0010001110000
31222001121101101
41223210101300
524204314000
62444214144
7461451625
oct153442160
958047341
1028198000
1114a0a636
12953a354
135ac3a0c
143a6034c
15271ee6a
hex1ae4470

28198000 has 80 divisors (see below), whose sum is σ = 71263296. Its totient is φ = 10771200.

The previous prime is 28197971. The next prime is 28198007. The reversal of 28198000 is 89182.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 28198000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28198007) 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, 45694 + ... + 46306.

Almost surely, 228198000 is an apocalyptic number.

28198000 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 28198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35631648).

28198000 is an abundant number, since it is smaller than the sum of its proper divisors (43065296).

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

28198000 is a wasteful number, since it uses less digits than its factorization.

28198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 28198000 is about 5310.1789047074. The cubic root of 28198000 is about 304.3729840191.

The spelling of 28198000 in words is "twenty-eight million, one hundred ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 613 920 1000 1150 1226 1840 2000 2300 2452 2875 3065 4600 4904 5750 6130 9200 9808 11500 12260 14099 15325 23000 24520 28198 30650 46000 49040 56396 61300 70495 76625 112792 122600 140990 153250 225584 245200 281980 306500 352475 563960 613000 704950 1127920 1226000 1409900 1762375 2819800 3524750 5639600 7049500 14099000 28198000