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3128285376 = 26328536367
BaseRepresentation
bin1011101001110101…
…1101100011000000
322002000102100210100
42322131131203000
522401320113001
61234230002400
7140343662346
oct27235354300
98060370710
103128285376
111365921117
127337a6400
133ab14c748
1421967b996
15134984586
hexba75d8c0

3128285376 has 84 divisors (see below), whose sum is σ = 8978587072. Its totient is φ = 1041375744.

The previous prime is 3128285351. The next prime is 3128285383. The reversal of 3128285376 is 6735828213.

3128285376 is a `hidden beast` number, since 31 + 2 + 82 + 8 + 537 + 6 = 666.

3128285376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31282853762 = 19572338787390922752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488145 + ... + 494511.

Almost surely, 23128285376 is an apocalyptic number.

3128285376 is a gapful number since it is divisible by the number (36) 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 3128285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489293536).

3128285376 is an abundant number, since it is smaller than the sum of its proper divisors (5850301696).

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

3128285376 is a wasteful number, since it uses less digits than its factorization.

3128285376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 7225 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3128285376 is about 55931.0770144827. The cubic root of 3128285376 is about 1462.5210362085.

The spelling of 3128285376 in words is "three billion, one hundred twenty-eight million, two hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 853 1706 2559 3412 5118 6367 6824 7677 10236 12734 13648 15354 19101 20472 25468 27296 30708 38202 40944 50936 54592 57303 61416 76404 81888 101872 114606 122832 152808 163776 203744 229212 245664 305616 407488 458424 491328 611232 916848 1222464 1833696 3667392 5431051 10862102 16293153 21724204 32586306 43448408 48879459 65172612 86896816 97758918 130345224 173793632 195517836 260690448 347587264 391035672 521380896 782071344 1042761792 1564142688 3128285376