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28119312 = 2434131669
BaseRepresentation
bin110101101000…
…1000100010000
31221220121110000
41223101010100
524144304222
62442410000
7461003334
oct153210420
957817400
1028119312
1114966501
129500900
135a96c60
143a3d7c4
1527069ac
hex1ad1110

28119312 has 100 divisors (see below), whose sum is σ = 87698380. Its totient is φ = 8646912.

The previous prime is 28119277. The next prime is 28119319. The reversal of 28119312 is 21391182.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 18974736 = 3024^2 + 4356^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28119319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16014 + ... + 17682.

Almost surely, 228119312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28119312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43849190).

28119312 is an abundant number, since it is smaller than the sum of its proper divisors (59579068).

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

28119312 is a wasteful number, since it uses less digits than its factorization.

28119312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1687 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 28119312 is about 5302.7645619997. The cubic root of 28119312 is about 304.0895973209.

The spelling of 28119312 in words is "twenty-eight million, one hundred nineteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1669 1872 2106 2808 3338 4212 5007 5616 6676 8424 10014 13352 15021 16848 20028 21697 26704 30042 40056 43394 45063 60084 65091 80112 86788 90126 120168 130182 135189 173576 180252 195273 240336 260364 270378 347152 360504 390546 520728 540756 585819 721008 781092 1041456 1081512 1171638 1562184 1757457 2163024 2343276 3124368 3514914 4686552 7029828 9373104 14059656 28119312