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27928950 = 2352767397
BaseRepresentation
bin110101010001…
…0100101110110
31221112221022120
41222202211312
524122211300
62434340410
7456251340
oct152424566
957487276
1027928950
1114846485
12942a706
135a2b40a
1439d0290
1526ba3a0
hex1aa2976

27928950 has 96 divisors (see below), whose sum is σ = 80542464. Its totient is φ = 6272640.

The previous prime is 27928937. The next prime is 27928981. The reversal of 27928950 is 5982972.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 70152 + ... + 70548.

It is an arithmetic number, because the mean of its divisors is an integer number (838984).

Almost surely, 227928950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27928950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40271232).

27928950 is an abundant number, since it is smaller than the sum of its proper divisors (52613514).

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

27928950 is a wasteful number, since it uses less digits than its factorization.

27928950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 27928950 is about 5284.7847638291. The cubic root of 27928950 is about 303.4018348157.

The spelling of 27928950 in words is "twenty-seven million, nine hundred twenty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 67 70 75 105 134 150 175 201 210 335 350 397 402 469 525 670 794 938 1005 1050 1191 1407 1675 1985 2010 2345 2382 2779 2814 3350 3970 4690 5025 5558 5955 7035 8337 9925 10050 11725 11910 13895 14070 16674 19850 23450 26599 27790 29775 35175 41685 53198 59550 69475 70350 79797 83370 132995 138950 159594 186193 208425 265990 372386 398985 416850 558579 664975 797970 930965 1117158 1329950 1861930 1994925 2792895 3989850 4654825 5585790 9309650 13964475 27928950