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28038300 = 22352194919
BaseRepresentation
bin110101011110…
…1010010011100
31221202111022120
41222331102130
524134211200
62440542540
7460215213
oct152752234
957674276
1028038300
1114910654
129481a50
135a69114
143a1c07a
1526dc9a0
hex1abd49c

28038300 has 72 divisors (see below), whose sum is σ = 85411200. Its totient is φ = 7081920.

The previous prime is 28038299. The next prime is 28038337. The reversal of 28038300 is 383082.

It is a super-2 number, since 2×280383002 = 1572292533780000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3241 + ... + 8159.

Almost surely, 228038300 is an apocalyptic number.

28038300 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 28038300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42705600).

28038300 is an abundant number, since it is smaller than the sum of its proper divisors (57372900).

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

28038300 is a wasteful number, since it uses less digits than its factorization.

28038300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 28038300 is about 5295.1203952318. The cubic root of 28038300 is about 303.7972881042.

The spelling of 28038300 in words is "twenty-eight million, thirty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 4919 5700 9838 14757 19676 24595 29514 49190 59028 73785 93461 98380 122975 147570 186922 245950 280383 295140 368925 373844 467305 491900 560766 737850 934610 1121532 1401915 1475700 1869220 2336525 2803830 4673050 5607660 7009575 9346100 14019150 28038300