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1028358840 = 233528130497
BaseRepresentation
bin111101010010111…
…000001010111000
32122200001001010110
4331102320022320
54101224440330
6250013144320
734324622505
oct7522701270
92580031113
101028358840
11488533243
1224848b0a0
13135089172
149a8104ac
1560433db0
hex3d4b82b8

1028358840 has 64 divisors (see below), whose sum is σ = 3096156960. Its totient is φ = 273244160.

The previous prime is 1028358839. The next prime is 1028358857. The reversal of 1028358840 is 488538201.

1028358840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10283588402 = 2115043807612291200, which contains 22 as substring.

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, 18472 + ... + 48968.

Almost surely, 21028358840 is an apocalyptic number.

1028358840 is a gapful number since it is divisible by the number (10) 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 1028358840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548078480).

1028358840 is an abundant number, since it is smaller than the sum of its proper divisors (2067798120).

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

1028358840 is a wasteful number, since it uses less digits than its factorization.

1028358840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30792 (or 30788 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 1028358840 is about 32068.0345515593. The cubic root of 1028358840 is about 1009.3649702218.

The spelling of 1028358840 in words is "one billion, twenty-eight million, three hundred fifty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 281 562 843 1124 1405 1686 2248 2810 3372 4215 5620 6744 8430 11240 16860 30497 33720 60994 91491 121988 152485 182982 243976 304970 365964 457455 609940 731928 914910 1219880 1829820 3659640 8569657 17139314 25708971 34278628 42848285 51417942 68557256 85696570 102835884 128544855 171393140 205671768 257089710 342786280 514179420 1028358840