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28204008 = 2337229827
BaseRepresentation
bin110101110010…
…1101111101000
31222001220121220
41223211233220
524210012013
62444302040
7461505300
oct153455750
958056556
1028204008
1114a140a8
129541920
135ac6681
143a62600
152721b23
hex1ae5be8

28204008 has 96 divisors (see below), whose sum is σ = 84952800. Its totient is φ = 7771008.

The previous prime is 28203997. The next prime is 28204019. The reversal of 28204008 is 80040282.

It is an interprime number because it is at equal distance from previous prime (28203997) and next prime (28204019).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33691 + ... + 34517.

It is an arithmetic number, because the mean of its divisors is an integer number (884925).

Almost surely, 228204008 is an apocalyptic number.

28204008 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 28204008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42476400).

28204008 is an abundant number, since it is smaller than the sum of its proper divisors (56748792).

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

28204008 is a wasteful number, since it uses less digits than its factorization.

28204008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 28204008 is about 5310.7445805650. The cubic root of 28204008 is about 304.3945995359.

The spelling of 28204008 in words is "twenty-eight million, two hundred four thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 827 1176 1218 1421 1624 1654 2436 2481 2842 3308 4263 4872 4962 5684 5789 6616 8526 9924 11368 11578 17052 17367 19848 23156 23983 34104 34734 40523 46312 47966 69468 71949 81046 95932 121569 138936 143898 162092 167881 191864 243138 287796 324184 335762 486276 503643 575592 671524 972552 1007286 1175167 1343048 2014572 2350334 3525501 4029144 4700668 7051002 9401336 14102004 28204008