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Number

1,628

1,628 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Year

Notable events — 1628 AD

  1. Aug 23 The Duke of Buckingham is assassinated at Portsmouth.
  2. Oct 28 La Rochelle surrenders to Cardinal Richelieu.
  3. Jun 7 England's Petition of Right is presented to Charles I.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Saturday
January 1, 1628
Ended on
Sunday
December 31, 1628
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 23
Sunday, April 23, 1628
Decade
1620s
1620–1629
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
398
398 years before 2026.

In other calendars

Hebrew
5388 / 5389 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1037 / 1038 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2171 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1006 / 1007 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1620 / 1621 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1550 / 1549 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
96
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
8,261
Recamán's sequence
a(696) = 1,628
Square (n²)
2,650,384
Cube (n³)
4,314,825,152
Divisor count
12
σ(n) — sum of divisors
3,192
φ(n) — Euler's totient
720
Sum of prime factors
52

Primality

Prime factorization: 2 2 × 11 × 37

Nearest primes: 1,627 (−1) · 1,637 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 11 · 22 · 37 · 44 · 74 · 148 · 407 · 814 (half) · 1628
Aliquot sum (sum of proper divisors): 1,564
Factor pairs (a × b = 1,628)
1 × 1628
2 × 814
4 × 407
11 × 148
22 × 74
37 × 44
First multiples
1,628 · 3,256 (double) · 4,884 · 6,512 · 8,140 · 9,768 · 11,396 · 13,024 · 14,652 · 16,280

Sums & aliquot sequence

As consecutive integers: 200 + 201 + … + 207 143 + 144 + … + 153 26 + 27 + … + 62
Aliquot sequence: 1,628 1,564 1,460 1,648 1,576 1,394 874 566 286 218 112 136 134 70 74 40 50 — unresolved within range

Representations

In words
one thousand six hundred twenty-eight
Ordinal
1628th
Roman numeral
MDCXXVIII
Binary
11001011100
Octal
3134
Hexadecimal
0x65C
Base64
Blw=
One's complement
63,907 (16-bit)
In other bases
ternary (3) 2020022
quaternary (4) 121130
quinary (5) 23003
senary (6) 11312
septenary (7) 4514
nonary (9) 2208
undecimal (11) 1250
duodecimal (12) b38
tridecimal (13) 983
tetradecimal (14) 844
pentadecimal (15) 738

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχκηʹ
Mayan (base 20)
𝋤·𝋡·𝋨
Chinese
一千六百二十八
Chinese (financial)
壹仟陸佰貳拾捌
In other modern scripts
Eastern Arabic ١٦٢٨ Devanagari १६२८ Bengali ১৬২৮ Tamil ௧௬௨௮ Thai ๑๖๒๘ Tibetan ༡༦༢༨ Khmer ១៦២៨ Lao ໑໖໒໘ Burmese ၁၆၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,628 = 2
e — Euler's number (e)
Digit 1,628 = 4
φ — Golden ratio (φ)
Digit 1,628 = 9
√2 — Pythagoras's (√2)
Digit 1,628 = 7
ln 2 — Natural log of 2
Digit 1,628 = 5
γ — Euler-Mascheroni (γ)
Digit 1,628 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1628, here are decompositions:

  • 7 + 1621 = 1628
  • 19 + 1609 = 1628
  • 31 + 1597 = 1628
  • 61 + 1567 = 1628
  • 79 + 1549 = 1628
  • 97 + 1531 = 1628
  • 139 + 1489 = 1628
  • 157 + 1471 = 1628

Showing the first eight; more decompositions exist.

Unicode codepoint
ٜ
Arabic Vowel Sign Dot Below
U+065C
Non-spacing mark (Mn)

UTF-8 encoding: D9 9C (2 bytes).

Hex color
#00065C
RGB(0, 6, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.92.

Address
0.0.6.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.92

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 1628 first appears in π at position 29,167 of the decimal expansion (the 29,167ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.