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328678794864 = 24327371812269
BaseRepresentation
bin1001100100001101100…
…10000110011001110000
31011102101012010202101200
410302012302012121300
520341113232413424
6410554251131200
732513652442230
oct4620662063160
91142335122350
10328678794864
1111743467a362
1253849a43b00
1324cc0572c04
1411c9dd09cc0
15883a3098c9
hex4c86c86670

328678794864 has 360 divisors, whose sum is σ = 1089696460320. Its totient is φ = 90527569920.

The previous prime is 328678794833. The next prime is 328678794881. The reversal of 328678794864 is 468497876823.

328678794864 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 78 + 79 + 486 + 4 = 666.

It is a super-3 number, since 3×3286787948643 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 328678794792 and 328678794801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1221854122 + ... + 1221854390.

It is an arithmetic number, because the mean of its divisors is an integer number (3026934612).

Almost surely, 2328678794864 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 328678794864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544848230160).

328678794864 is an abundant number, since it is smaller than the sum of its proper divisors (761017665456).

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

328678794864 is a wasteful number, since it uses less digits than its factorization.

328678794864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 499 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 328678794864 in words is "three hundred twenty-eight billion, six hundred seventy-eight million, seven hundred ninety-four thousand, eight hundred sixty-four".