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328699728 = 24337731489
BaseRepresentation
bin10011100101111…
…000111101010000
3211220111200021000
4103211320331100
51133121342403
652341102000
711100621150
oct2345707520
9756450230
10328699728
111595a6a75
12920b7900
1353138ca6
1431924760
151dccc7a3
hex13978f50

328699728 has 160 divisors (see below), whose sum is σ = 1093779200. Its totient is φ = 92565504.

The previous prime is 328699703. The next prime is 328699733. The reversal of 328699728 is 827996823.

It is a happy number.

It is a super-2 number, since 2×3286997282 = 216087022374547968, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220008 + ... + 221496.

It is an arithmetic number, because the mean of its divisors is an integer number (6836120).

Almost surely, 2328699728 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 328699728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546889600).

328699728 is an abundant number, since it is smaller than the sum of its proper divisors (765079472).

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

328699728 is a wasteful number, since it uses less digits than its factorization.

328699728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1574 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 328699728 is about 18130.0779921102. The cubic root of 328699728 is about 690.1335091371.

The spelling of 328699728 in words is "three hundred twenty-eight million, six hundred ninety-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 73 84 108 112 126 144 146 168 189 216 219 252 292 336 378 432 438 504 511 584 657 756 876 1008 1022 1168 1314 1489 1512 1533 1752 1971 2044 2628 2978 3024 3066 3504 3942 4088 4467 4599 5256 5956 6132 7884 8176 8934 9198 10423 10512 11912 12264 13401 13797 15768 17868 18396 20846 23824 24528 26802 27594 31269 31536 35736 36792 40203 41692 53604 55188 62538 71472 73584 80406 83384 93807 107208 108697 110376 125076 160812 166768 187614 214416 217394 220752 250152 281421 321624 326091 375228 434788 500304 562842 643248 652182 750456 760879 869576 978273 1125684 1304364 1500912 1521758 1739152 1956546 2251368 2282637 2608728 2934819 3043516 3913092 4502736 4565274 5217456 5869638 6087032 6847911 7826184 9130548 11739276 12174064 13695822 15652368 18261096 20543733 23478552 27391644 36522192 41087466 46957104 54783288 82174932 109566576 164349864 328699728