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28226688 = 273710501
BaseRepresentation
bin110101110101…
…1010010000000
31222010001201220
41223223102000
524211223223
62444555040
7461631360
oct153532200
958101656
1028226688
1114a2a146
129552a80
135b03aa9
143a6a9a0
1527286e3
hex1aeb480

28226688 has 64 divisors (see below), whose sum is σ = 85696320. Its totient is φ = 8064000.

The previous prime is 28226663. The next prime is 28226699. The reversal of 28226688 is 88662282.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2563 + ... + 7938.

It is an arithmetic number, because the mean of its divisors is an integer number (1339005).

Almost surely, 228226688 is an apocalyptic number.

28226688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

28226688 is an abundant number, since it is smaller than the sum of its proper divisors (57469632).

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

28226688 is a wasteful number, since it uses less digits than its factorization.

28226688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525 (or 10513 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 28226688 is about 5312.8794452726. The cubic root of 28226688 is about 304.4761697373.

The spelling of 28226688 in words is "twenty-eight million, two hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 10501 21002 31503 42004 63006 73507 84008 126012 147014 168016 220521 252024 294028 336032 441042 504048 588056 672064 882084 1008096 1176112 1344128 1764168 2016192 2352224 3528336 4032384 4704448 7056672 9408896 14113344 28226688