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28340928 = 263471171
BaseRepresentation
bin110110000011…
…1001011000000
31222022212110000
41230013023000
524223402203
62451240000
7462615420
oct154071300
958285400
1028340928
1114aa7a60
1295a9000
135b43aa5
143a9a480
15274c4a3
hex1b072c0

28340928 has 280 divisors, whose sum is σ = 106216704. Its totient is φ = 7257600.

The previous prime is 28340911. The next prime is 28340929. The reversal of 28340928 is 82904382.

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

It is a junction number, because it is equal to n+sod(n) for n = 28340892 and 28340901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28340929) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 399133 + ... + 399203.

Almost surely, 228340928 is an apocalyptic number.

28340928 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 28340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53108352).

28340928 is an abundant number, since it is smaller than the sum of its proper divisors (77875776).

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

28340928 is a wasteful number, since it uses less digits than its factorization.

28340928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 28340928 is about 5323.6198211367. The cubic root of 28340928 is about 304.8863788911.

The spelling of 28340928 in words is "twenty-eight million, three hundred forty thousand, nine hundred twenty-eight".