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28833852894480 = 2432540047017909
BaseRepresentation
bin1101000111001011001111…
…00011110010110100010000
310210002111012210011212111100
412203211213203302310100
512234403212320110410
6141154031131344400
76034114516502424
oct643454743626420
9123074183155440
1028833852894480
119207406297707
12329823abb2100
13131203651376a
147197ccc8ab84
1535007c0d08c0
hex1a39678f2d10

28833852894480 has 60 divisors (see below), whose sum is σ = 96833689306380. Its totient is φ = 7689027438336.

The previous prime is 28833852894443. The next prime is 28833852894493. The reversal of 28833852894480 is 8449825833882.

28833852894480 is a `hidden beast` number, since 2 + 8 + 8 + 3 + 3 + 8 + 52 + 8 + 94 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8285002343424 + 20548850551056 = 2878368^2 + 4533084^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×288338528944803 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28833852894399 and 28833852894408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20023508235 + ... + 20023509674.

It is an arithmetic number, because the mean of its divisors is an integer number (1613894821773).

Almost surely, 228833852894480 is an apocalyptic number.

28833852894480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28833852894480 is an abundant number, since it is smaller than the sum of its proper divisors (67999836411900).

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

28833852894480 is a wasteful number, since it uses less digits than its factorization.

28833852894480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40047017928 (or 40047017919 counting only the distinct ones).

The product of its (nonzero) digits is 849346560, while the sum is 72.

The spelling of 28833852894480 in words is "twenty-eight trillion, eight hundred thirty-three billion, eight hundred fifty-two million, eight hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 40047017909 80094035818 120141053727 160188071636 200235089545 240282107454 320376143272 360423161181 400470179090 480564214908 600705268635 640752286544 720846322362 800940358180 961128429816 1201410537270 1441692644724 1601880716360 1802115805905 1922256859632 2402821074540 2883385289448 3203761432720 3604231611810 4805642149080 5766770578896 7208463223620 9611284298160 14416926447240 28833852894480