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28208628 = 2233737313
BaseRepresentation
bin110101110011…
…0110111110100
31222002010222000
41223212313310
524210134003
62444335300
7461524620
oct153466764
958063860
1028208628
1114a17618
129544530
135ac87c6
143a64180
1527231a3
hex1ae6df4

28208628 has 48 divisors (see below), whose sum is σ = 83583360. Its totient is φ = 8059392.

The previous prime is 28208581. The next prime is 28208641. The reversal of 28208628 is 82680282.

28208628 is a `hidden beast` number, since 2 + 8 + 20 + 8 + 628 = 666.

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 = 28208592 and 28208601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17901 + ... + 19412.

It is an arithmetic number, because the mean of its divisors is an integer number (1741320).

Almost surely, 228208628 is an apocalyptic number.

28208628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

28208628 is an abundant number, since it is smaller than the sum of its proper divisors (55374732).

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

28208628 is a wasteful number, since it uses less digits than its factorization.

28208628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37333 (or 37325 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 28208628 is about 5311.1795300103. The cubic root of 28208628 is about 304.4112192337.

The spelling of 28208628 in words is "twenty-eight million, two hundred eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 37313 74626 111939 149252 223878 261191 335817 447756 522382 671634 783573 1007451 1044764 1343268 1567146 2014902 2350719 3134292 4029804 4701438 7052157 9402876 14104314 28208628