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5628254976 = 28332393407
BaseRepresentation
bin1010011110111100…
…00101101100000000
3112112020112222101000
411033132011230000
543011313124401
62330253012000
7256321243431
oct51736055400
915466488330
105628254976
1124290042a3
121110a84000
136b906b0b6
143b56c1488
1522e1a6186
hex14f785b00

5628254976 has 144 divisors (see below), whose sum is σ = 16718284800. Its totient is φ = 1867686912.

The previous prime is 5628254969. The next prime is 5628254981. The reversal of 5628254976 is 6794528265.

5628254976 is a `hidden beast` number, since 5 + 6 + 28 + 2 + 549 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1650265 + ... + 1653671.

It is an arithmetic number, because the mean of its divisors is an integer number (116099200).

Almost surely, 25628254976 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 5628254976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8359142400).

5628254976 is an abundant number, since it is smaller than the sum of its proper divisors (11090029824).

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

5628254976 is a wasteful number, since it uses less digits than its factorization.

5628254976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3651 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 5628254976 is about 75021.6967016876. The cubic root of 5628254976 is about 1778.7896261675.

The spelling of 5628254976 in words is "five billion, six hundred twenty-eight million, two hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 239 256 288 384 432 478 576 717 768 864 956 1152 1434 1728 1912 2151 2304 2868 3407 3456 3824 4302 5736 6453 6814 6912 7648 8604 10221 11472 12906 13628 15296 17208 20442 22944 25812 27256 30592 30663 34416 40884 45888 51624 54512 61184 61326 68832 81768 91776 91989 103248 109024 122652 137664 163536 183552 183978 206496 218048 245304 275328 327072 367956 412992 436096 490608 550656 654144 735912 814273 825984 872192 981216 1308288 1471824 1628546 1651968 1962432 2442819 2616576 2943648 3257092 3924864 4885638 5887296 6514184 7328457 7849728 9771276 11774592 13028368 14656914 19542552 21985371 23549184 26056736 29313828 39085104 43970742 52113472 58627656 78170208 87941484 104226944 117255312 156340416 175882968 208453888 234510624 312680832 351765936 469021248 625361664 703531872 938042496 1407063744 1876084992 2814127488 5628254976