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328899287808 = 28337132192973
BaseRepresentation
bin1001100100100111110…
…11001101101100000000
31011102221120000221212000
410302103323031230000
520342041204202213
6411032205104000
732522300550630
oct4622373155400
91142846027760
10328899287808
11117538089a33
12538ab858000
1325027153b00
1411cc13046c0
15884e860c73
hex4c93ecdb00

328899287808 has 1728 divisors, whose sum is σ = 1328632704000. Its totient is φ = 78256668672.

The previous prime is 328899287803. The next prime is 328899287813. The reversal of 328899287808 is 808782998823.

It is an interprime number because it is at equal distance from previous prime (328899287803) and next prime (328899287813).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×3288992878083 (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 not an unprimeable number, because it can be changed into a prime (328899287803) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4505469660 + ... + 4505469732.

Almost surely, 2328899287808 is an apocalyptic number.

328899287808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328899287808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664316352000).

328899287808 is an abundant number, since it is smaller than the sum of its proper divisors (999733416192).

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

328899287808 is a wasteful number, since it uses less digits than its factorization.

328899287808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 328899287808 in words is "three hundred twenty-eight billion, eight hundred ninety-nine million, two hundred eighty-seven thousand, eight hundred eight".