Search a number
-
+
28475238144 = 283892571621
BaseRepresentation
bin11010100001010000…
…011010011100000000
32201111111011222022210
4122201100122130000
5431304130110034
621025323102120
72025433350003
oct324120323400
981444158283
1028475238144
1111092590971
125628371940
1328ba513152
141541b3b53a
15b19d3c8e9
hex6a141a700

28475238144 has 144 divisors (see below), whose sum is σ = 76982844960. Its totient is φ = 9342812160.

The previous prime is 28475238091. The next prime is 28475238167. The reversal of 28475238144 is 44183257482.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 28475238093 and 28475238102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17565654 + ... + 17567274.

It is an arithmetic number, because the mean of its divisors is an integer number (534603090).

Almost surely, 228475238144 is an apocalyptic number.

28475238144 is a gapful number since it is divisible by the number (24) 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 28475238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38491422480).

28475238144 is an abundant number, since it is smaller than the sum of its proper divisors (48507606816).

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

28475238144 is a wasteful number, since it uses less digits than its factorization.

28475238144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1972 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The spelling of 28475238144 in words is "twenty-eight billion, four hundred seventy-five million, two hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 257 267 356 384 514 534 712 768 771 1028 1068 1424 1542 1621 2056 2136 2848 3084 3242 4112 4272 4863 5696 6168 6484 8224 8544 9726 11392 12336 12968 16448 17088 19452 22784 22873 24672 25936 32896 34176 38904 45746 49344 51872 65792 68352 68619 77808 91492 98688 103744 137238 144269 155616 182984 197376 207488 274476 288538 311232 365968 414976 416597 432807 548952 577076 622464 731936 833194 865614 1097904 1154152 1244928 1249791 1463872 1666388 1731228 2195808 2308304 2499582 2927744 3332776 3462456 4391616 4616608 4999164 5855488 6665552 6924912 8783232 9233216 9998328 13331104 13849824 17566464 18466432 19996656 26662208 27699648 36932864 37077133 39993312 53324416 55399296 74154266 79986624 106648832 110798592 111231399 148308532 159973248 222462798 296617064 319946496 444925596 593234128 889851192 1186468256 1779702384 2372936512 3559404768 4745873024 7118809536 9491746048 14237619072 28475238144