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1328333568 = 2833734637
BaseRepresentation
bin100111100101100…
…1100001100000000
310102120111100002120
41033023030030000
510210023133233
6335450444240
744626435422
oct11713141400
93376440076
101328333568
1162189a741
12310a33680
131822785c3
14c85b8812
157b93a4b3
hex4f2cc300

1328333568 has 72 divisors (see below), whose sum is σ = 3545546928. Its totient is φ = 441495552.

The previous prime is 1328333563. The next prime is 1328333593. The reversal of 1328333568 is 8653338231.

It is a happy number.

It is a super-2 number, since 2×13283335682 = 3528940135751221248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1328333563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284146 + ... + 288782.

Almost surely, 21328333568 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 1328333568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772773464).

1328333568 is an abundant number, since it is smaller than the sum of its proper divisors (2217213360).

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

1328333568 is an equidigital number, since it uses as much as digits as its factorization.

1328333568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5015 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 1328333568 is about 36446.3107598012. The cubic root of 1328333568 is about 1099.2649546652.

The spelling of 1328333568 in words is "one billion, three hundred twenty-eight million, three hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 373 384 746 768 1119 1492 2238 2984 4476 4637 5968 8952 9274 11936 13911 17904 18548 23872 27822 35808 37096 47744 55644 71616 74192 95488 111288 143232 148384 222576 286464 296768 445152 593536 890304 1187072 1729601 1780608 3459202 3561216 5188803 6918404 10377606 13836808 20755212 27673616 41510424 55347232 83020848 110694464 166041696 221388928 332083392 442777856 664166784 1328333568