Search a number
-
+
28198280 = 23511193373
BaseRepresentation
bin110101110010…
…0010110001000
31222001121202202
41223210112020
524204321110
62444215332
7461452505
oct153442610
958047682
1028198280
1114a0a870
12953a548
135ac3b96
143a604ac
1527200a5
hex1ae4588

28198280 has 64 divisors (see below), whose sum is σ = 72878400. Its totient is φ = 9711360.

The previous prime is 28198273. The next prime is 28198301. The reversal of 28198280 is 8289182.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

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, 6674 + ... + 10046.

It is an arithmetic number, because the mean of its divisors is an integer number (1138725).

Almost surely, 228198280 is an apocalyptic number.

28198280 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 28198280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36439200).

28198280 is an abundant number, since it is smaller than the sum of its proper divisors (44680120).

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

28198280 is a wasteful number, since it uses less digits than its factorization.

28198280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 28198280 is about 5310.2052691021. The cubic root of 28198280 is about 304.3739914683.

The spelling of 28198280 in words is "twenty-eight million, one hundred ninety-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 3373 4180 6746 8360 13492 16865 26984 33730 37103 64087 67460 74206 128174 134920 148412 185515 256348 296824 320435 371030 512696 640870 704957 742060 1281740 1409914 1484120 2563480 2819828 3524785 5639656 7049570 14099140 28198280