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28785148 = 22721753163
BaseRepresentation
bin110110111001…
…1100111111100
32000011102210121
41231303213330
524332111043
62504544324
7466445500
oct155634774
960142717
1028785148
1115280787
1297820a4
135c6b042
143b74300
1527d8ded
hex1b739fc

28785148 has 72 divisors (see below), whose sum is σ = 63603792. Its totient is φ = 11321856.

The previous prime is 28785091. The next prime is 28785179. The reversal of 28785148 is 84158782.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176515 + ... + 176677.

It is an arithmetic number, because the mean of its divisors is an integer number (883386).

Almost surely, 228785148 is an apocalyptic number.

28785148 is a gapful number since it is divisible by the number (28) 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 28785148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31801896).

28785148 is an abundant number, since it is smaller than the sum of its proper divisors (34818644).

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

28785148 is a wasteful number, since it uses less digits than its factorization.

28785148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its digits is 143360, while the sum is 43.

The square root of 28785148 is about 5365.1792141549. The cubic root of 28785148 is about 306.4710730284.

The spelling of 28785148 in words is "twenty-eight million, seven hundred eighty-five thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 53 68 98 106 119 163 196 212 238 326 371 476 652 742 833 901 1141 1484 1666 1802 2282 2597 2771 3332 3604 4564 5194 5542 6307 7987 8639 10388 11084 12614 15974 17278 19397 25228 31948 34556 38794 44149 60473 77588 88298 120946 135779 146863 176596 241892 271558 293726 423311 543116 587452 846622 1028041 1693244 2056082 4112164 7196287 14392574 28785148