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1028690608 = 2411311671129
BaseRepresentation
bin111101010100001…
…001001010110000
32122200122220020011
4331110021022300
54101321044413
6250024224304
734330503661
oct7524111260
92580586204
101028690608
1148873a530
1224860b094
1313517418a
149a899368
156049c33d
hex3d5092b0

1028690608 has 80 divisors (see below), whose sum is σ = 2259855360. Its totient is φ = 449395200.

The previous prime is 1028690603. The next prime is 1028690623. The reversal of 1028690608 is 8060968201.

It is not an unprimeable number, because it can be changed into a prime (1028690603) 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 15 ways as a sum of consecutive naturals, for example, 910588 + ... + 911716.

It is an arithmetic number, because the mean of its divisors is an integer number (28248192).

Almost surely, 21028690608 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 1028690608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129927680).

1028690608 is an abundant number, since it is smaller than the sum of its proper divisors (1231164752).

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

1028690608 is a wasteful number, since it uses less digits than its factorization.

1028690608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 1028690608 is about 32073.2070114605. The cubic root of 1028690608 is about 1009.4735052903.

The spelling of 1028690608 in words is "one billion, twenty-eight million, six hundred ninety thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 167 176 248 334 341 496 668 682 1129 1336 1364 1837 2258 2672 2728 3674 4516 5177 5456 7348 9032 10354 12419 14696 18064 20708 24838 29392 34999 41416 49676 56947 69998 82832 99352 113894 139996 188543 198704 227788 279992 377086 384989 455576 559984 754172 769978 911152 1508344 1539956 2073973 3016688 3079912 4147946 5844833 6159824 8295892 11689666 16591784 23379332 33183568 46758664 64293163 93517328 128586326 257172652 514345304 1028690608