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1328888832 = 21032291889
BaseRepresentation
bin100111100110101…
…0011110000000000
310102121112112202220
41033031103300000
510210143420312
6335510411040
744634240315
oct11715236000
93377475686
101328888832
11622139937
12311060a80
1318241126b
14c86c0d0c
157b9e9c8c
hex4f353c00

1328888832 has 88 divisors (see below), whose sum is σ = 3559323600. Its totient is φ = 440795136.

The previous prime is 1328888831. The next prime is 1328888851. The reversal of 1328888832 is 2388888231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328888831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 702544 + ... + 704432.

Almost surely, 21328888832 is an apocalyptic number.

1328888832 is a gapful number since it is divisible by the number (12) 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 1328888832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779661800).

1328888832 is an abundant number, since it is smaller than the sum of its proper divisors (2230434768).

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

1328888832 is a wasteful number, since it uses less digits than its factorization.

1328888832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2123 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 51.

The square root of 1328888832 is about 36453.9275250281. The cubic root of 1328888832 is about 1099.4181032519.

The spelling of 1328888832 in words is "one billion, three hundred twenty-eight million, eight hundred eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 256 384 458 512 687 768 916 1024 1374 1536 1832 1889 2748 3072 3664 3778 5496 5667 7328 7556 10992 11334 14656 15112 21984 22668 29312 30224 43968 45336 58624 60448 87936 90672 117248 120896 175872 181344 234496 241792 351744 362688 432581 483584 703488 725376 865162 967168 1297743 1450752 1730324 1934336 2595486 2901504 3460648 5190972 5803008 6921296 10381944 13842592 20763888 27685184 41527776 55370368 83055552 110740736 166111104 221481472 332222208 442962944 664444416 1328888832