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1028087808 = 2133113803
BaseRepresentation
bin111101010001110…
…110000000000000
32122122112021100020
4331101312000000
54101142302213
6250003253440
734322413356
oct7521660000
92578467306
101028087808
11488368650
1224837a280
13134cc29a7
149a77d7d6
15603cd923
hex3d476000

1028087808 has 112 divisors (see below), whose sum is σ = 2991404736. Its totient is φ = 311459840.

The previous prime is 1028087807. The next prime is 1028087843. The reversal of 1028087808 is 8087808201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1028087808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028087807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268435 + ... + 272237.

Almost surely, 21028087808 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 1028087808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495702368).

1028087808 is an abundant number, since it is smaller than the sum of its proper divisors (1963316928).

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

1028087808 is an equidigital number, since it uses as much as digits as its factorization.

1028087808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 1028087808 is about 32063.8083826610. The cubic root of 1028087808 is about 1009.2762870912.

It can be divided in two parts, 1028087 and 808, that added together give a triangular number (1028895 = T1434).

The spelling of 1028087808 in words is "one billion, twenty-eight million, eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 3803 4096 4224 5632 6144 7606 8192 8448 11264 11409 12288 15212 16896 22528 22818 24576 30424 33792 41833 45056 45636 60848 67584 83666 90112 91272 121696 125499 135168 167332 182544 243392 250998 270336 334664 365088 486784 501996 669328 730176 973568 1003992 1338656 1460352 1947136 2007984 2677312 2920704 3894272 4015968 5354624 5841408 7788544 8031936 10709248 11682816 15577088 16063872 21418496 23365632 31154176 32127744 42836992 46731264 64255488 85673984 93462528 128510976 171347968 257021952 342695936 514043904 1028087808