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28167282 = 232111331353
BaseRepresentation
bin110101101110…
…0110001110010
31222000001020200
41223130301302
524202323112
62443420030
7461263233
oct153346162
958001220
1028167282
1114999550
129524616
135ab2a40
143a5308a
152715cdc
hex1adcc72

28167282 has 96 divisors (see below), whose sum is σ = 74221056. Its totient is φ = 7603200.

The previous prime is 28167281. The next prime is 28167289. The reversal of 28167282 is 28276182.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (28167281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79618 + ... + 79970.

It is an arithmetic number, because the mean of its divisors is an integer number (773136).

Almost surely, 228167282 is an apocalyptic number.

28167282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28167282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37110528).

28167282 is an abundant number, since it is smaller than the sum of its proper divisors (46053774).

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

28167282 is a wasteful number, since it uses less digits than its factorization.

28167282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 413 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 28167282 is about 5307.2857469709. The cubic root of 28167282 is about 304.2624191271.

Adding to 28167282 its product of digits (21504), we get a triangular number (28188786 = T7508).

Subtracting 28167282 from its reverse (28276182), we obtain a square (108900 = 3302).

The spelling of 28167282 in words is "twenty-eight million, one hundred sixty-seven thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 31 33 39 62 66 78 93 99 117 143 186 198 234 279 286 341 353 403 429 558 682 706 806 858 1023 1059 1209 1287 2046 2118 2418 2574 3069 3177 3627 3883 4433 4589 6138 6354 7254 7766 8866 9178 10943 11649 13299 13767 21886 23298 26598 27534 32829 34947 39897 41301 50479 65658 69894 79794 82602 98487 100958 120373 142259 151437 196974 240746 284518 302874 361119 426777 454311 722238 853554 908622 1083357 1280331 1564849 2166714 2560662 3129698 4694547 9389094 14083641 28167282