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28100328 = 2334373373
BaseRepresentation
bin110101100110…
…0011011101000
31221212122101220
41223030123220
524143202303
62442142040
7460564104
oct153143350
957778356
1028100328
1114953213
1294b1920
135a8b419
143a36904
152701053
hex1acc6e8

28100328 has 64 divisors (see below), whose sum is σ = 73064640. Its totient is φ = 8999424.

The previous prime is 28100311. The next prime is 28100329. The reversal of 28100328 is 82300182.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 28100298 and 28100307.

It is not an unprimeable number, because it can be changed into a prime (28100329) 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 15 ways as a sum of consecutive naturals, for example, 75150 + ... + 75522.

It is an arithmetic number, because the mean of its divisors is an integer number (1141635).

Almost surely, 228100328 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 28100328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36532320).

28100328 is an abundant number, since it is smaller than the sum of its proper divisors (44964312).

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

28100328 is a wasteful number, since it uses less digits than its factorization.

28100328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28100328 is about 5300.9742500789. The cubic root of 28100328 is about 304.0211492673.

The spelling of 28100328 in words is "twenty-eight million, one hundred thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 73 86 129 146 172 219 258 292 344 373 438 516 584 746 876 1032 1119 1492 1752 2238 2984 3139 4476 6278 8952 9417 12556 16039 18834 25112 27229 32078 37668 48117 54458 64156 75336 81687 96234 108916 128312 163374 192468 217832 326748 384936 653496 1170847 2341694 3512541 4683388 7025082 9366776 14050164 28100328