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28308234240 = 2133351113179
BaseRepresentation
bin11010010111010011…
…010110000000000000
32201001211221022001000
4122113103112000000
5430433401443430
621000555412000
72021335010106
oct322723260000
981054838030
1028308234240
1111007295410
1255a0454000
132891a3c780
1415278a7c76
15b0a34ee60
hex6974d6000

28308234240 has 896 divisors, whose sum is σ = 118901260800. Its totient is φ = 6299320320.

The previous prime is 28308234223. The next prime is 28308234307. The reversal of 28308234240 is 4243280382.

It is a happy number.

28308234240 is a `hidden beast` number, since 2 + 8 + 308 + 2 + 342 + 4 + 0 = 666.

It is a super-2 number, since 2×283082342402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 28308234195 and 28308234204.

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 63 ways as a sum of consecutive naturals, for example, 158146471 + ... + 158146649.

It is an arithmetic number, because the mean of its divisors is an integer number (132702300).

Almost surely, 228308234240 is an apocalyptic number.

28308234240 is a gapful number since it is divisible by the number (20) 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 28308234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59450630400).

28308234240 is an abundant number, since it is smaller than the sum of its proper divisors (90593026560).

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

28308234240 is a wasteful number, since it uses less digits than its factorization.

28308234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 28308234240 in words is "twenty-eight billion, three hundred eight million, two hundred thirty-four thousand, two hundred forty".