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328681128 = 233172927779
BaseRepresentation
bin10011100101110…
…100011010101000
3211220110201202010
4103211310122220
51133120244003
652340435520
711100513006
oct2345643250
9756421663
10328681128
11159593aa6
12920a8ba0
1353130699
143191ba76
151dcc7003
hex139746a8

328681128 has 64 divisors (see below), whose sum is σ = 900072000. Its totient is φ = 99556352.

The previous prime is 328681103. The next prime is 328681139. The reversal of 328681128 is 821186823.

328681128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 2058 + ... + 25721.

It is an arithmetic number, because the mean of its divisors is an integer number (14063625).

Almost surely, 2328681128 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 328681128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450036000).

328681128 is an abundant number, since it is smaller than the sum of its proper divisors (571390872).

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

328681128 is a wasteful number, since it uses less digits than its factorization.

328681128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27834 (or 27830 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 328681128 is about 18129.5650251185. The cubic root of 328681128 is about 690.1204914553.

The spelling of 328681128 in words is "three hundred twenty-eight million, six hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 204 232 348 408 493 696 986 1479 1972 2958 3944 5916 11832 27779 55558 83337 111116 166674 222232 333348 472243 666696 805591 944486 1416729 1611182 1888972 2416773 2833458 3222364 3777944 4833546 5666916 6444728 9667092 11333832 13695047 19334184 27390094 41085141 54780188 82170282 109560376 164340564 328681128