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1028731968 = 26331154121
BaseRepresentation
bin111101010100010…
…011010001000000
32122200201222222000
4331110103101000
54101323410333
6250025144000
734331035365
oct7524232100
92580658860
101028731968
11488768610
1224862b000
13135189c54
149a8aa46c
15604a9713
hex3d513440

1028731968 has 112 divisors (see below), whose sum is σ = 3299277120. Its totient is φ = 311731200.

The previous prime is 1028731927. The next prime is 1028731969. The reversal of 1028731968 is 8691378201.

It is not an unprimeable number, because it can be changed into a prime (1028731969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8053 + ... + 46068.

Almost surely, 21028731968 is an apocalyptic number.

1028731968 is a gapful number since it is divisible by the number (18) 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 1028731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649638560).

1028731968 is an abundant number, since it is smaller than the sum of its proper divisors (2270545152).

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

1028731968 is a wasteful number, since it uses less digits than its factorization.

1028731968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54153 (or 54137 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1028731968 is about 32073.8517799157. The cubic root of 1028731968 is about 1009.4870342252.

The spelling of 1028731968 in words is "one billion, twenty-eight million, seven hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 54121 108242 162363 216484 324726 432968 487089 595331 649452 865936 974178 1190662 1298904 1461267 1731872 1785993 1948356 2381324 2597808 2922534 3463744 3571986 3896712 4762648 5195616 5357979 5845068 7143972 7793424 9525296 10391232 10715958 11690136 14287944 15586848 16073937 19050592 21431916 23380272 28575888 31173696 32147874 38101184 42863832 46760544 57151776 64295748 85727664 93521088 114303552 128591496 171455328 257182992 342910656 514365984 1028731968