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28748736 = 2633127131
BaseRepresentation
bin110110110101…
…0101111000000
32000002120212000
41231222233000
524324424421
62504104000
7466234362
oct155525700
960076760
1028748736
1115256395
129765000
135c575b3
143b64d32
1527cd226
hex1b6abc0

28748736 has 112 divisors (see below), whose sum is σ = 85831680. Its totient is φ = 9434880.

The previous prime is 28748719. The next prime is 28748743. The reversal of 28748736 is 63784782.

It is a happy number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 28748691 and 28748700.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 219391 + ... + 219521.

Almost surely, 228748736 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 28748736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42915840).

28748736 is an abundant number, since it is smaller than the sum of its proper divisors (57082944).

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

28748736 is a wasteful number, since it uses less digits than its factorization.

28748736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 28748736 is about 5361.7847774785. The cubic root of 28748736 is about 306.3417941686.

The spelling of 28748736 in words is "twenty-eight million, seven hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 131 144 192 216 254 262 288 381 393 432 508 524 576 762 786 864 1016 1048 1143 1179 1524 1572 1728 2032 2096 2286 2358 3048 3144 3429 3537 4064 4192 4572 4716 6096 6288 6858 7074 8128 8384 9144 9432 12192 12576 13716 14148 16637 18288 18864 24384 25152 27432 28296 33274 36576 37728 49911 54864 56592 66548 73152 75456 99822 109728 113184 133096 149733 199644 219456 226368 266192 299466 399288 449199 532384 598932 798576 898398 1064768 1197864 1597152 1796796 2395728 3194304 3593592 4791456 7187184 9582912 14374368 28748736