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328105728 = 283415823
BaseRepresentation
bin10011100011100…
…111111100000000
3211212101111110000
4103203213330000
51132443340403
652320240000
711062565316
oct2343477400
9755344400
10328105728
11159230765
1291a70000
1352c8b802
143180c0b6
151dc117a3
hex138e7f00

328105728 has 90 divisors (see below), whose sum is σ = 978413744. Its totient is φ = 109361664.

The previous prime is 328105663. The next prime is 328105801. The reversal of 328105728 is 827501823.

328105728 is a `hidden beast` number, since 3 + 2 + 81 + 0 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 328105692 and 328105701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12825 + ... + 28647.

Almost surely, 2328105728 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 328105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489206872).

328105728 is an abundant number, since it is smaller than the sum of its proper divisors (650308016).

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

328105728 is an equidigital number, since it uses as much as digits as its factorization.

328105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15851 (or 15828 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 328105728 is about 18113.6889671872. The cubic root of 328105728 is about 689.7175403422.

The spelling of 328105728 in words is "three hundred twenty-eight million, one hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 15823 20736 31646 47469 63292 94938 126584 142407 189876 253168 284814 379752 427221 506336 569628 759504 854442 1012672 1139256 1281663 1519008 1708884 2025344 2278512 2563326 3038016 3417768 4050688 4557024 5126652 6076032 6835536 9114048 10253304 12152064 13671072 18228096 20506608 27342144 36456192 41013216 54684288 82026432 109368576 164052864 328105728