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328385568 = 25371074567
BaseRepresentation
bin10011100100101…
…100010000100000
3211212220201022110
4103210230100200
51133031314233
652330235320
711065142220
oct2344542040
9755821273
10328385568
11159401a35
1291b85b40
1353058cb4
1431882080
151dc69663
hex1392c420

328385568 has 96 divisors (see below), whose sum is σ = 994581504. Its totient is φ = 92927232.

The previous prime is 328385567. The next prime is 328385581. The reversal of 328385568 is 865583823.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (328385567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69621 + ... + 74187.

It is an arithmetic number, because the mean of its divisors is an integer number (10360224).

Almost surely, 2328385568 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 328385568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497290752).

328385568 is an abundant number, since it is smaller than the sum of its proper divisors (666195936).

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

328385568 is a wasteful number, since it uses less digits than its factorization.

328385568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694 (or 4686 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 328385568 is about 18121.4118655253. The cubic root of 328385568 is about 689.9135703547.

The spelling of 328385568 in words is "three hundred twenty-eight million, three hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 214 224 321 336 428 642 672 749 856 1284 1498 1712 2247 2568 2996 3424 4494 4567 5136 5992 8988 9134 10272 11984 13701 17976 18268 23968 27402 31969 35952 36536 54804 63938 71904 73072 95907 109608 127876 146144 191814 219216 255752 383628 438432 488669 511504 767256 977338 1023008 1466007 1534512 1954676 2932014 3069024 3420683 3909352 5864028 6841366 7818704 10262049 11728056 13682732 15637408 20524098 23456112 27365464 41048196 46912224 54730928 82096392 109461856 164192784 328385568