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1028000000 = 2856257
BaseRepresentation
bin111101010001100…
…000100100000000
32122122100210220002
4331101200210000
54101132000000
6250001335132
734321566356
oct7521404400
92578323802
101028000000
11488308685
122483374a8
13134c91a31
149a7597d6
15603b28d5
hex3d460900

1028000000 has 126 divisors (see below), whose sum is σ = 2574927978. Its totient is φ = 409600000.

The previous prime is 1027999993. The next prime is 1028000023. The reversal of 1028000000 is 8201.

It can be written as a sum of positive squares in 7 ways, for example, as 939790336 + 88209664 = 30656^2 + 9392^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3999872 + ... + 4000128.

Almost surely, 21028000000 is an apocalyptic number.

1028000000 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 1028000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287463989).

1028000000 is an abundant number, since it is smaller than the sum of its proper divisors (1546927978).

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

1028000000 is an frugal number, since it uses more digits than its factorization.

1028000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1028000000 is about 32062.4390837628. The cubic root of 1028000000 is about 1009.2475524978.

Adding to 1028000000 its reverse (8201), we get a palindrome (1028008201).

The spelling of 1028000000 in words is "one billion, twenty-eight million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 257 320 400 500 514 625 640 800 1000 1028 1250 1280 1285 1600 2000 2056 2500 2570 3125 3200 4000 4112 5000 5140 6250 6400 6425 8000 8224 10000 10280 12500 12850 15625 16000 16448 20000 20560 25000 25700 31250 32000 32125 32896 40000 41120 50000 51400 62500 64250 65792 80000 82240 100000 102800 125000 128500 160000 160625 164480 200000 205600 250000 257000 321250 328960 400000 411200 500000 514000 642500 800000 803125 822400 1000000 1028000 1285000 1606250 1644800 2000000 2056000 2570000 3212500 4000000 4015625 4112000 5140000 6425000 8031250 8224000 10280000 12850000 16062500 20560000 25700000 32125000 41120000 51400000 64250000 102800000 128500000 205600000 257000000 514000000 1028000000