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28327392 = 2532412399
BaseRepresentation
bin110110000001…
…1110111100000
31222022011212200
41230003313200
524222434032
62451053200
7462531102
oct154036740
958264780
1028327392
1114a98875
1295a1200
135b3a892
143a95572
15274847c
hex1b03de0

28327392 has 72 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 9208320.

The previous prime is 28327391. The next prime is 28327393. The reversal of 28327392 is 29372382.

It is an interprime number because it is at equal distance from previous prime (28327391) and next prime (28327393).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×283273922 = 1604882275043328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28327391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10609 + ... + 13007.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 228327392 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 28327392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

28327392 is an abundant number, since it is smaller than the sum of its proper divisors (54227808).

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

28327392 is a wasteful number, since it uses less digits than its factorization.

28327392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2445 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 28327392 is about 5322.3483538754. The cubic root of 28327392 is about 304.8378319131.

The spelling of 28327392 in words is "twenty-eight million, three hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2399 2952 3936 4798 5904 7197 9596 11808 14394 19192 21591 28788 38384 43182 57576 76768 86364 98359 115152 172728 196718 230304 295077 345456 393436 590154 690912 786872 885231 1180308 1573744 1770462 2360616 3147488 3540924 4721232 7081848 9442464 14163696 28327392