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116828928 = 283250707
BaseRepresentation
bin1101111011010…
…10101100000000
322010211112011100
412331222230000
5214402011203
615332014400
72616013056
oct675525400
9263745140
10116828928
115aa46337
1233161400
131b286758
14117321d6
15a3caea3
hex6f6ab00

116828928 has 54 divisors (see below), whose sum is σ = 336853244. Its totient is φ = 38942208.

The previous prime is 116828927. The next prime is 116828939. The reversal of 116828928 is 829828611.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (116828927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23050 + ... + 27657.

Almost surely, 2116828928 is an apocalyptic number.

116828928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116828928 is an abundant number, since it is smaller than the sum of its proper divisors (220024316).

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

116828928 is an equidigital number, since it uses as much as digits as its factorization.

116828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50729 (or 50712 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 116828928 is about 10808.7431276722. The cubic root of 116828928 is about 488.8588298629.

The spelling of 116828928 in words is "one hundred sixteen million, eight hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 50707 101414 152121 202828 304242 405656 456363 608484 811312 912726 1216968 1622624 1825452 2433936 3245248 3650904 4867872 6490496 7301808 9735744 12980992 14603616 19471488 29207232 38942976 58414464 116828928