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1328209888 = 25235973419
BaseRepresentation
bin100111100101010…
…1101111111100000
310102120021001102211
41033022231333200
510210010204023
6335444051504
744625412015
oct11712557740
93376231384
101328209888
11621815825
12310993b94
13182234215
14c858570c
157b913a0d
hex4f2adfe0

1328209888 has 96 divisors (see below), whose sum is σ = 2819577600. Its totient is φ = 614439936.

The previous prime is 1328209871. The next prime is 1328209933. The reversal of 1328209888 is 8889028231.

It is a congruent number.

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, 3169743 + ... + 3170161.

It is an arithmetic number, because the mean of its divisors is an integer number (29370600).

Almost surely, 21328209888 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 1328209888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409788800).

1328209888 is an abundant number, since it is smaller than the sum of its proper divisors (1491367712).

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

1328209888 is a wasteful number, since it uses less digits than its factorization.

1328209888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

The square root of 1328209888 is about 36444.6139779255. The cubic root of 1328209888 is about 1099.2308364004.

The spelling of 1328209888 in words is "one billion, three hundred twenty-eight million, two hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 59 73 92 118 146 184 236 292 368 419 472 584 736 838 944 1168 1357 1676 1679 1888 2336 2714 3352 3358 4307 5428 6704 6716 8614 9637 10856 13408 13432 17228 19274 21712 24721 26864 30587 34456 38548 43424 49442 53728 61174 68912 77096 98884 99061 122348 137824 154192 197768 198122 244696 308384 395536 396244 489392 568583 703501 791072 792488 978784 1137166 1407002 1584976 1804633 2274332 2814004 3169952 3609266 4548664 5628008 7218532 9097328 11256016 14437064 18194656 22512032 28874128 41506559 57748256 83013118 166026236 332052472 664104944 1328209888