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3128889088 = 28132341997
BaseRepresentation
bin1011101001111111…
…0000111100000000
322002001120000221001
42322133300330000
522401443422323
61234250541344
7140352055423
oct27237607400
98061500831
103128889088
1113661a3756
12733a37854
133ab301480
142197979ba
15134a533ad
hexba7f0f00

3128889088 has 144 divisors (see below), whose sum is σ = 7196809536. Its totient is φ = 1346273280.

The previous prime is 3128889067. The next prime is 3128889091. The reversal of 3128889088 is 8809888213.

3128889088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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, 3137806 + ... + 3138802.

It is an arithmetic number, because the mean of its divisors is an integer number (49977844).

Almost surely, 23128889088 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 3128889088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598404768).

3128889088 is an abundant number, since it is smaller than the sum of its proper divisors (4067920448).

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

3128889088 is a wasteful number, since it uses less digits than its factorization.

3128889088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 55.

The square root of 3128889088 is about 55936.4736822049. The cubic root of 3128889088 is about 1462.6151116739.

The spelling of 3128889088 in words is "three billion, one hundred twenty-eight million, eight hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 41 46 52 64 82 92 104 128 164 184 208 256 299 328 368 416 533 598 656 736 832 943 997 1066 1196 1312 1472 1664 1886 1994 2132 2392 2624 2944 3328 3772 3988 4264 4784 5248 5888 7544 7976 8528 9568 10496 12259 12961 15088 15952 17056 19136 22931 24518 25922 30176 31904 34112 38272 40877 45862 49036 51844 60352 63808 68224 76544 81754 91724 98072 103688 120704 127616 136448 163508 183448 196144 207376 241408 255232 298103 327016 366896 392288 414752 531401 596206 654032 733792 784576 829504 940171 1062802 1192412 1308064 1467584 1569152 1659008 1880342 2125604 2384824 2616128 2935168 3138304 3318016 3760684 4251208 4769648 5232256 5870336 7521368 8502416 9539296 10464512 12222223 15042736 17004832 19078592 24444446 30085472 34009664 38157184 48888892 60170944 68019328 76314368 97777784 120341888 136038656 195555568 240683776 391111136 782222272 1564444544 3128889088