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28295064 = 23327311811
BaseRepresentation
bin110101111101…
…1111110011000
31222020112112100
41223323332120
524220420224
62450243400
7462334620
oct153737630
958215470
1028295064
1114a76556
129586560
135b28c55
143a87880
15273dac9
hex1afbf98

28295064 has 96 divisors (see below), whose sum is σ = 90455040. Its totient is φ = 7819200.

The previous prime is 28295053. The next prime is 28295093. The reversal of 28295064 is 46059282.

It is a happy number.

It is a super-2 number, since 2×282950642 = 1601221293528192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14719 + ... + 16529.

It is an arithmetic number, because the mean of its divisors is an integer number (942240).

Almost surely, 228295064 is an apocalyptic number.

28295064 is a gapful number since it is divisible by the number (24) 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 28295064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45227520).

28295064 is an abundant number, since it is smaller than the sum of its proper divisors (62159976).

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

28295064 is a wasteful number, since it uses less digits than its factorization.

28295064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 28295064 is about 5319.3104816320. The cubic root of 28295064 is about 304.7218246616.

The spelling of 28295064 in words is "twenty-eight million, two hundred ninety-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1811 1953 2232 2604 3622 3906 5208 5433 7244 7812 10866 12677 14488 15624 16299 21732 25354 32598 38031 43464 50708 56141 65196 76062 101416 112282 114093 130392 152124 168423 224564 228186 304248 336846 392987 449128 456372 505269 673692 785974 912744 1010538 1178961 1347384 1571948 2021076 2357922 3143896 3536883 4042152 4715844 7073766 9431688 14147532 28295064