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28224966 = 23711199307
BaseRepresentation
bin110101110101…
…0110111000110
31222002222101010
41223222313012
524211144331
62444543050
7461623350
oct153526706
958088333
1028224966
1114a28920
129551a86
135b03083
143a6a0d0
152727e46
hex1aeadc6

28224966 has 64 divisors (see below), whose sum is σ = 70963200. Its totient is φ = 7270560.

The previous prime is 28224941. The next prime is 28224967. The reversal of 28224966 is 66942282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28224967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91785 + ... + 92091.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 228224966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28224966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35481600).

28224966 is an abundant number, since it is smaller than the sum of its proper divisors (42738234).

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

28224966 is a wasteful number, since it uses less digits than its factorization.

28224966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529.

The product of its digits is 82944, while the sum is 39.

The square root of 28224966 is about 5312.7173837877. The cubic root of 28224966 is about 304.4699779774.

The spelling of 28224966 in words is "twenty-eight million, two hundred twenty-four thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 199 231 307 398 462 597 614 921 1194 1393 1842 2149 2189 2786 3377 4179 4298 4378 6447 6567 6754 8358 10131 12894 13134 15323 20262 23639 30646 45969 47278 61093 70917 91938 122186 141834 183279 366558 427651 672023 855302 1282953 1344046 2016069 2565906 4032138 4704161 9408322 14112483 28224966