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28068832 = 2511233467
BaseRepresentation
bin110101100010…
…0101111100000
31221211001012101
41223010233200
524141200312
62441340144
7460403221
oct153045740
957731171
1028068832
1114931590
129497654
135a79c9c
143a29248
1526e6a57
hex1ac4be0

28068832 has 48 divisors (see below), whose sum is σ = 62923392. Its totient is φ = 12200320.

The previous prime is 28068791. The next prime is 28068841. The reversal of 28068832 is 23886082.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28068791 and 28068800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6363 + ... + 9829.

It is an arithmetic number, because the mean of its divisors is an integer number (1310904).

Almost surely, 228068832 is an apocalyptic number.

28068832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28068832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31461696).

28068832 is an abundant number, since it is smaller than the sum of its proper divisors (34854560).

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

28068832 is a wasteful number, since it uses less digits than its factorization.

28068832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 28068832 is about 5298.0026425059. The cubic root of 28068832 is about 303.9075203461.

It can be divided in two parts, 28068 and 832, that added together give a square (28900 = 1702).

The spelling of 28068832 in words is "twenty-eight million, sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 3467 4048 6934 8096 13868 27736 38137 55472 76274 79741 110944 152548 159482 305096 318964 610192 637928 877151 1220384 1275856 1754302 2551712 3508604 7017208 14034416 28068832