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28907516400 = 2435273441371
BaseRepresentation
bin11010111011000001…
…011011000111110000
32202121121120222121120
4122323001123013300
5433200311011100
621140244222240
72042232556320
oct327301330760
982547528546
1028907516400
11112945a2a24
12572909a980
132958c466b9
141583305280
15b42c7a0a0
hex6bb05b1f0

28907516400 has 120 divisors (see below), whose sum is σ = 105829071744. Its totient is φ = 6607430400.

The previous prime is 28907516369. The next prime is 28907516413. The reversal of 28907516400 is 461570982.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×289075164004 (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1712286 + ... + 1729085.

Almost surely, 228907516400 is an apocalyptic number.

28907516400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28907516400 is an abundant number, since it is smaller than the sum of its proper divisors (76921555344).

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

28907516400 is a wasteful number, since it uses less digits than its factorization.

28907516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441399 (or 3441388 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 28907516400 in words is "twenty-eight billion, nine hundred seven million, five hundred sixteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 3441371 6882742 10324113 13765484 17206855 20648226 24089597 27530968 34413710 41296452 48179194 51620565 55061936 68827420 72268791 82592904 86034275 96358388 103241130 120447985 137654840 144537582 165185808 172068550 192716776 206482260 240895970 258102825 275309680 289075164 344137100 361343955 385433552 412964520 481791940 516205650 578150328 602239925 688274200 722687910 825929040 963583880 1032411300 1156300656 1204479850 1376548400 1445375820 1806719775 1927167760 2064822600 2408959700 2890751640 3613439550 4129645200 4817919400 5781503280 7226879100 9635838800 14453758200 28907516400