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1028622336 = 2113723917
BaseRepresentation
bin111101010011111…
…000100000000000
32122200112102120120
4331103320200000
54101311403321
6250022540240
734330100640
oct7523704000
92580472516
101028622336
114886a3205
12248597680
1313514c091
149a87c520
1560486ec6
hex3d4f8800

1028622336 has 96 divisors (see below), whose sum is σ = 3134214720. Its totient is φ = 293879808.

The previous prime is 1028622299. The next prime is 1028622367. The reversal of 1028622336 is 6332268201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1028622297 and 1028622306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31050 + ... + 54966.

It is an arithmetic number, because the mean of its divisors is an integer number (32648070).

Almost surely, 21028622336 is an apocalyptic number.

1028622336 is a gapful number since it is divisible by the number (16) 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 1028622336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567107360).

1028622336 is an abundant number, since it is smaller than the sum of its proper divisors (2105592384).

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

1028622336 is an equidigital number, since it uses as much as digits as its factorization.

1028622336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23949 (or 23929 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1028622336 is about 32072.1426786549. The cubic root of 1028622336 is about 1009.4511725956.

The spelling of 1028622336 in words is "one billion, twenty-eight million, six hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 23917 43008 47834 71751 95668 143502 167419 191336 287004 334838 382672 502257 574008 669676 765344 1004514 1148016 1339352 1530688 2009028 2296032 2678704 3061376 4018056 4592064 5357408 6122752 8036112 9184128 10714816 12245504 16072224 18368256 21429632 24491008 32144448 36736512 42859264 48982016 64288896 73473024 85718528 128577792 146946048 171437056 257155584 342874112 514311168 1028622336