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28216944 = 2433723143
BaseRepresentation
bin110101110100…
…0111001110000
31222002120101000
41223220321300
524210420234
62444442000
7461561100
oct153507160
958076330
1028216944
1114a22898
129549300
135acc522
143a67200
152725899
hex1ae8e70

28216944 has 240 divisors, whose sum is σ = 99517440. Its totient is φ = 7620480.

The previous prime is 28216933. The next prime is 28216963. The reversal of 28216944 is 44961282.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 28216899 and 28216908.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 656187 + ... + 656229.

It is an arithmetic number, because the mean of its divisors is an integer number (414656).

Almost surely, 228216944 is an apocalyptic number.

28216944 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 28216944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49758720).

28216944 is an abundant number, since it is smaller than the sum of its proper divisors (71300496).

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

28216944 is a wasteful number, since it uses less digits than its factorization.

28216944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 28216944 is about 5311.9623492642. The cubic root of 28216944 is about 304.4411301175.

The spelling of 28216944 in words is "twenty-eight million, two hundred sixteen thousand, nine hundred forty-four".