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28628710760 = 2351373754181
BaseRepresentation
bin11010101010011001…
…110111010101101000
32201220011222012011202
4122222121313111220
5432112422221020
621052444343332
72032306012016
oct325231672550
981804865152
1028628710760
1111161185141
12566b844b48
132913259850
14155828b8b6
15b28555e75
hex6aa677568

28628710760 has 64 divisors (see below), whose sum is σ = 70319929680. Its totient is φ = 10425784320.

The previous prime is 28628710757. The next prime is 28628710763. The reversal of 28628710760 is 6701782682.

It is an interprime number because it is at equal distance from previous prime (28628710757) and next prime (28628710763).

It can be written as a sum of positive squares in 8 ways, for example, as 16749018724 + 11879692036 = 129418^2 + 108994^2 .

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (28628710763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339131 + ... + 415050.

Almost surely, 228628710760 is an apocalyptic number.

28628710760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28628710760 is an abundant number, since it is smaller than the sum of its proper divisors (41691218920).

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

28628710760 is a wasteful number, since it uses less digits than its factorization.

28628710760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754278 (or 754274 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 28628710760 in words is "twenty-eight billion, six hundred twenty-eight million, seven hundred ten thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 73 104 130 146 260 292 365 520 584 730 949 1460 1898 2920 3796 4745 7592 9490 18980 37960 754181 1508362 3016724 3770905 6033448 7541810 9804353 15083620 19608706 30167240 39217412 49021765 55055213 78434824 98043530 110110426 196087060 220220852 275276065 392174120 440441704 550552130 715717769 1101104260 1431435538 2202208520 2862871076 3578588845 5725742152 7157177690 14314355380 28628710760