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1028061888 = 26374317789
BaseRepresentation
bin111101010001101…
…111101011000000
32122122110221210020
4331101233223000
54101140440023
6250002533440
734322244660
oct7521575300
92578427706
101028061888
11488350127
12248367280
13134cb3c59
149a7741a0
15603c5de3
hex3d46fac0

1028061888 has 112 divisors (see below), whose sum is σ = 3181136640. Its totient is φ = 286884864.

The previous prime is 1028061877. The next prime is 1028061901. The reversal of 1028061888 is 8881608201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10280618882 = 2113822491116249088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 48898 + ... + 66686.

Almost surely, 21028061888 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 1028061888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590568320).

1028061888 is an abundant number, since it is smaller than the sum of its proper divisors (2153074752).

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

1028061888 is a wasteful number, since it uses less digits than its factorization.

1028061888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17854 (or 17844 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The square root of 1028061888 is about 32063.4041860811. The cubic root of 1028061888 is about 1009.2678051110.

The spelling of 1028061888 in words is "one billion, twenty-eight million, sixty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1032 1204 1344 1376 1806 2064 2408 2752 3612 4128 4816 7224 8256 9632 14448 17789 19264 28896 35578 53367 57792 71156 106734 124523 142312 213468 249046 284624 373569 426936 498092 569248 747138 764927 853872 996184 1138496 1494276 1529854 1707744 1992368 2294781 2988552 3059708 3415488 3984736 4589562 5354489 5977104 6119416 7969472 9179124 10708978 11954208 12238832 16063467 18358248 21417956 23908416 24477664 32126934 36716496 42835912 48955328 64253868 73432992 85671824 128507736 146865984 171343648 257015472 342687296 514030944 1028061888