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628407004480 = 26571121722727
BaseRepresentation
bin10010010010011111111…
…10011110110101000000
32020002000202122101211021
421021033332132311000
540243434143120410
61200404114555224
763254340256033
oct11111776366500
92202022571737
10628407004480
1122256240a502
12a1958298b14
1347348c9cab8
14225b4cdd01a
151152dbcceda
hex924ff9ed40

628407004480 has 112 divisors (see below), whose sum is σ = 1518783872256. Its totient is φ = 247607951360.

The previous prime is 628407004447. The next prime is 628407004493. The reversal of 628407004480 is 84400704826.

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, 27638877 + ... + 27661603.

It is an arithmetic number, because the mean of its divisors is an integer number (13560570288).

Almost surely, 2628407004480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628407004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759391936128).

628407004480 is an abundant number, since it is smaller than the sum of its proper divisors (890376867776).

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

628407004480 is a wasteful number, since it uses less digits than its factorization.

628407004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24032 (or 24022 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The spelling of 628407004480 in words is "six hundred twenty-eight billion, four hundred seven million, four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1217 1420 2272 2434 2840 4544 4868 5680 6085 9736 11360 12170 19472 22720 22727 24340 38944 45454 48680 77888 86407 90908 97360 113635 172814 181816 194720 227270 345628 363632 389440 432035 454540 691256 727264 864070 909080 1382512 1454528 1613617 1728140 1818160 2765024 3227234 3456280 3636320 5530048 6454468 6912560 7272640 8068085 12908936 13825120 16136170 25817872 27650240 27658759 32272340 51635744 55317518 64544680 103271488 110635036 129089360 138293795 221270072 258178720 276587590 442540144 516357440 553175180 885080288 1106350360 1770160576 1963771889 2212700720 3927543778 4425401440 7855087556 8850802880 9818859445 15710175112 19637718890 31420350224 39275437780 62840700448 78550875560 125681400896 157101751120 314203502240 628407004480