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28090000 = 2454532
BaseRepresentation
bin110101100100…
…1111010010000
31221212010020101
41223021322100
524142340000
62442022144
7460522021
oct153117220
957763211
1028090000
1114946484
1294a7954
135a86803
143a32c48
1526ece6a
hex1ac9e90

28090000 has 75 divisors (see below), whose sum is σ = 69316093. Its totient is φ = 11024000.

The previous prime is 28089983. The next prime is 28090003. The reversal of 28090000 is 9082.

The square root of 28090000 is 5300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 15586704 + 12503296 = 3948^2 + 3536^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28090000.

It is not an unprimeable number, because it can be changed into a prime (28090003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 529974 + ... + 530026.

Almost surely, 228090000 is an apocalyptic number.

28090000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28090000 is the 5300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28090000

28090000 is an abundant number, since it is smaller than the sum of its proper divisors (41226093).

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

28090000 is an frugal number, since it uses more digits than its factorization.

28090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 28090000 is about 303.9838980391.

Multiplying 28090000 by its product of nonzero digits (144), we get a square (4044960000 = 636002).

Adding to 28090000 its reverse (9082), we get a palindrome (28099082).

The spelling of 28090000 in words is "twenty-eight million, ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 625 848 1000 1060 1250 1325 2000 2120 2500 2650 2809 4240 5000 5300 5618 6625 10000 10600 11236 13250 14045 21200 22472 26500 28090 33125 44944 53000 56180 66250 70225 106000 112360 132500 140450 224720 265000 280900 351125 530000 561800 702250 1123600 1404500 1755625 2809000 3511250 5618000 7022500 14045000 28090000