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28774368 = 2532722039
BaseRepresentation
bin110110111000…
…0111111100000
32000010220000100
41231300333200
524331234433
62504422400
7466402200
oct155607740
960126010
1028774368
1115273677
129777a00
135c6616c
143b70400
1527d5b13
hex1b70fe0

28774368 has 108 divisors (see below), whose sum is σ = 95233320. Its totient is φ = 8217216.

The previous prime is 28774363. The next prime is 28774373. The reversal of 28774368 is 86347782.

It is a happy number.

28774368 is a `hidden beast` number, since 287 + 7 + 4 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (28774363) and next prime (28774373).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28774363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13093 + ... + 15131.

It is an arithmetic number, because the mean of its divisors is an integer number (881790).

Almost surely, 228774368 is an apocalyptic number.

28774368 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 28774368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47616660).

28774368 is an abundant number, since it is smaller than the sum of its proper divisors (66458952).

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

28774368 is a wasteful number, since it uses less digits than its factorization.

28774368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2051 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 28774368 is about 5364.1744938061. The cubic root of 28774368 is about 306.4328105806.

The spelling of 28774368 in words is "twenty-eight million, seven hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2039 2352 3528 4078 4704 6117 7056 8156 12234 14112 14273 16312 18351 24468 28546 32624 36702 42819 48936 57092 65248 73404 85638 97872 99911 114184 128457 146808 171276 195744 199822 228368 256914 293616 299733 342552 399644 456736 513828 587232 599466 685104 799288 899199 1027656 1198932 1370208 1598576 1798398 2055312 2397864 3197152 3596796 4110624 4795728 7193592 9591456 14387184 28774368