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28823836608 = 2633719167751
BaseRepresentation
bin11010110110000010…
…001101011111000000
32202101210010121112000
4122312002031133000
5433012400232413
621124054504000
72040165366030
oct326602153700
982353117460
1028823836608
1111251339076
125705065000
1329447c8428
1415761618c0
15b3a74b073
hex6b608d7c0

28823836608 has 448 divisors, whose sum is σ = 102685900800. Its totient is φ = 7744896000.

The previous prime is 28823836567. The next prime is 28823836663. The reversal of 28823836608 is 80663832882.

28823836608 is a `hidden beast` number, since 2 + 8 + 8 + 23 + 8 + 3 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38380233 + ... + 38380983.

It is an arithmetic number, because the mean of its divisors is an integer number (229209600).

Almost surely, 228823836608 is an apocalyptic number.

28823836608 is a gapful number since it is divisible by the number (28) 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 28823836608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51342950400).

28823836608 is an abundant number, since it is smaller than the sum of its proper divisors (73862064192).

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

28823836608 is a wasteful number, since it uses less digits than its factorization.

28823836608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 28823836608 in words is "twenty-eight billion, eight hundred twenty-three million, eight hundred thirty-six thousand, six hundred eight".