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128339328 = 2731347547
BaseRepresentation
bin1111010011001…
…00110110000000
322221111022110110
413221210312000
5230323324303
620422431320
73115603065
oct751446600
9287438413
10128339328
1166498267
1236b92540
1320786940
141308ac6c
15b401703
hex7a64d80

128339328 has 128 divisors (see below), whose sum is σ = 375621120. Its totient is φ = 38578176.

The previous prime is 128339311. The next prime is 128339359. The reversal of 128339328 is 823933821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1283393282 = 32941966222983168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 234351 + ... + 234897.

It is an arithmetic number, because the mean of its divisors is an integer number (2934540).

Almost surely, 2128339328 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 128339328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187810560).

128339328 is an abundant number, since it is smaller than the sum of its proper divisors (247281792).

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

128339328 is a wasteful number, since it uses less digits than its factorization.

128339328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 612 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 128339328 is about 11328.6948939408. The cubic root of 128339328 is about 504.4133670981.

The spelling of 128339328 in words is "one hundred twenty-eight million, three hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 128 141 156 188 192 208 282 312 376 384 416 547 564 611 624 752 832 1094 1128 1222 1248 1504 1641 1664 1833 2188 2256 2444 2496 3008 3282 3666 4376 4512 4888 4992 6016 6564 7111 7332 8752 9024 9776 13128 14222 14664 17504 18048 19552 21333 25709 26256 28444 29328 35008 39104 42666 51418 52512 56888 58656 70016 77127 78208 85332 102836 105024 113776 117312 154254 170664 205672 210048 227552 234624 308508 334217 341328 411344 455104 617016 668434 682656 822688 910208 1002651 1234032 1336868 1365312 1645376 2005302 2468064 2673736 2730624 3290752 4010604 4936128 5347472 8021208 9872256 10694944 16042416 21389888 32084832 42779776 64169664 128339328