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1028622816 = 253213274739
BaseRepresentation
bin111101010011111…
…000100111100000
32122200112110020100
4331103320213200
54101311412231
6250022542400
734330102224
oct7523704740
92580473210
101028622816
114886a3601
12248597a00
1313514c370
149a87c784
15604871e6
hex3d4f89e0

1028622816 has 72 divisors (see below), whose sum is σ = 3150168840. Its totient is φ = 316498176.

The previous prime is 1028622799. The next prime is 1028622821. The reversal of 1028622816 is 6182268201.

1028622816 is a `hidden beast` number, since 1 + 0 + 28 + 622 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133626 + ... + 141113.

It is an arithmetic number, because the mean of its divisors is an integer number (43752345).

Almost surely, 21028622816 is an apocalyptic number.

1028622816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1028622816 is an abundant number, since it is smaller than the sum of its proper divisors (2121546024).

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

1028622816 is a wasteful number, since it uses less digits than its factorization.

1028622816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274768 (or 274757 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1028622816 is about 32072.1501617837. The cubic root of 1028622816 is about 1009.4513296136.

The spelling of 1028622816 in words is "one billion, twenty-eight million, six hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 274739 549478 824217 1098956 1648434 2197912 2472651 3296868 3571607 4395824 4945302 6593736 7143214 8791648 9890604 10714821 13187472 14286428 19781208 21429642 26374944 28572856 32144463 39562416 42859284 57145712 64288926 79124832 85718568 114291424 128577852 171437136 257155704 342874272 514311408 1028622816