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28767808 = 2617137193
BaseRepresentation
bin110110110111…
…1011001000000
32000010120000101
41231233121000
524331032213
62504332144
7466344106
oct155573100
960116011
1028767808
1115269753
129774054
135c63194
143b6bc76
1527d3bdd
hex1b6f640

28767808 has 56 divisors (see below), whose sum is σ = 61200792. Its totient is φ = 13369344.

The previous prime is 28767787. The next prime is 28767821. The reversal of 28767808 is 80876782.

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 23348224 = 2328^2 + 4832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148960 + ... + 149152.

Almost surely, 228767808 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 28767808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30600396).

28767808 is an abundant number, since it is smaller than the sum of its proper divisors (32432984).

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

28767808 is a wasteful number, since it uses less digits than its factorization.

28767808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The square root of 28767808 is about 5363.5629948757. The cubic root of 28767808 is about 306.4095218905.

The spelling of 28767808 in words is "twenty-eight million, seven hundred sixty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 137 193 272 274 386 544 548 772 1088 1096 1544 2192 2329 3088 3281 4384 4658 6176 6562 8768 9316 12352 13124 18632 26248 26441 37264 52496 52882 74528 104992 105764 149056 209984 211528 423056 449497 846112 898994 1692224 1797988 3595976 7191952 14383904 28767808