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28131900 = 22352791187
BaseRepresentation
bin110101101010…
…0001000111100
31221221020201020
41223110020330
524200210100
62442544140
7461055126
oct153241074
957836636
1028131900
1114974a05
129508050
135a9c8c4
143a44216
15270a5a0
hex1ad423c

28131900 has 72 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 7400640.

The previous prime is 28131899. The next prime is 28131907. The reversal of 28131900 is 913182.

It is a super-2 number, since 2×281319002 = 1582807595220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28131907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23107 + ... + 24293.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 228131900 is an apocalyptic number.

28131900 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 28131900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

28131900 is an abundant number, since it is smaller than the sum of its proper divisors (54362820).

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

28131900 is a wasteful number, since it uses less digits than its factorization.

28131900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 28131900 is about 5303.9513572430. The cubic root of 28131900 is about 304.1349671933.

The spelling of 28131900 in words is "twenty-eight million, one hundred thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1187 1580 1975 2370 2374 3561 3950 4740 4748 5925 5935 7122 7900 11850 11870 14244 17805 23700 23740 29675 35610 59350 71220 89025 93773 118700 178050 187546 281319 356100 375092 468865 562638 937730 1125276 1406595 1875460 2344325 2813190 4688650 5626380 7032975 9377300 14065950 28131900