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28742868 = 223271110369
BaseRepresentation
bin110110110100…
…1010011010100
32000002021210200
41231221103110
524324232433
62504020500
7466211310
oct155512324
960067720
1028742868
1115251a40
129761730
135c54a1b
143b62b40
1527cb613
hex1b694d4

28742868 has 72 divisors (see below), whose sum is σ = 90592320. Its totient is φ = 7464960.

The previous prime is 28742867. The next prime is 28742873. The reversal of 28742868 is 86824782.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28742863) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2413 + ... + 7956.

Almost surely, 228742868 is an apocalyptic number.

28742868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

28742868 is an abundant number, since it is smaller than the sum of its proper divisors (61849452).

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

28742868 is a wasteful number, since it uses less digits than its factorization.

28742868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10397 (or 10392 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 28742868 is about 5361.2375437020. The cubic root of 28742868 is about 306.3209499366.

It can be divided in two parts, 287428 and 68, that added together give a cube (287496 = 663).

The spelling of 28742868 in words is "twenty-eight million, seven hundred forty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 10369 20738 31107 41476 62214 72583 93321 114059 124428 145166 186642 217749 228118 290332 342177 373284 435498 456236 653247 684354 798413 870996 1026531 1306494 1368708 1596826 2053062 2395239 2612988 3193652 4106124 4790478 7185717 9580956 14371434 28742868