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28773574144 = 29783197491
BaseRepresentation
bin11010110011000010…
…011110011000000000
32202021021120000101021
4122303002132120000
5432412013333034
621115101315224
72036015226160
oct326302363000
982237500337
1028773574144
1111225a29147
1256b0265b14
13293727a723
14156d5da5a0
15b3611d6b4
hex6b309e600

28773574144 has 160 divisors (see below), whose sum is σ = 66969213696. Its totient is φ = 12096430080.

The previous prime is 28773574139. The next prime is 28773574169. The reversal of 28773574144 is 44147537782.

It is a junction number, because it is equal to n+sod(n) for n = 28773574091 and 28773574100.

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, 58601739 + ... + 58602229.

Almost surely, 228773574144 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 28773574144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33484606848).

28773574144 is an abundant number, since it is smaller than the sum of its proper divisors (38195639552).

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

28773574144 is an equidigital number, since it uses as much as digits as its factorization.

28773574144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 780 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 52.

The spelling of 28773574144 in words is "twenty-eight billion, seven hundred seventy-three million, five hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 197 224 256 332 394 448 491 512 581 664 788 896 982 1162 1328 1379 1576 1792 1964 2324 2656 2758 3152 3437 3584 3928 4648 5312 5516 6304 6874 7856 9296 10624 11032 12608 13748 15712 16351 18592 21248 22064 25216 27496 31424 32702 37184 40753 42496 44128 50432 54992 62848 65404 74368 81506 88256 96727 100864 109984 114457 125696 130808 148736 163012 176512 193454 219968 228914 251392 261616 285271 297472 326024 353024 386908 439936 457828 523232 570542 652048 677089 706048 773816 879872 915656 1046464 1141084 1304096 1354178 1547632 1759744 1831312 2092928 2282168 2608192 2708356 3095264 3662624 4185856 4564336 5216384 5416712 6190528 7325248 8028341 8371712 9128672 10432768 10833424 12381056 14650496 16056682 18257344 20865536 21666848 24762112 29300992 32113364 36514688 43333696 49524224 56198387 58601984 64226728 73029376 86667392 112396774 128453456 146058752 173334784 224793548 256906912 346669568 449587096 513813824 899174192 1027627648 1798348384 2055255296 3596696768 4110510592 7193393536 14386787072 28773574144