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28414386 = 232711131983
BaseRepresentation
bin110110001100…
…1000110110010
31222110121012200
41230121012302
524233230021
62453004030
7463342530
oct154310662
958417180
1028414386
1115048170
129623616
135b6b360
143ab9150
152764126
hex1b191b2

28414386 has 192 divisors, whose sum is σ = 88058880. Its totient is φ = 6376320.

The previous prime is 28414381. The next prime is 28414391. The reversal of 28414386 is 68341482.

It is an interprime number because it is at equal distance from previous prime (28414381) and next prime (28414391).

It is a super-3 number, since 3×284143863 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28414386.

It is not an unprimeable number, because it can be changed into a prime (28414381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342301 + ... + 342383.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 228414386 is an apocalyptic number.

28414386 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28414386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

28414386 is an abundant number, since it is smaller than the sum of its proper divisors (59644494).

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

28414386 is a wasteful number, since it uses less digits than its factorization.

28414386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 138 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 28414386 is about 5330.5146093037. The cubic root of 28414386 is about 305.1495674200.

It can be divided in two parts, 2841 and 4386, that added together give a palindrome (7227).

The spelling of 28414386 in words is "twenty-eight million, four hundred fourteen thousand, three hundred eighty-six".