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28232966520 = 233251167106411
BaseRepresentation
bin11010010010110100…
…001110000101111000
32200212121022022010200
4122102310032011320
5430310114412040
620545310242200
72016432153513
oct322264160570
980777268120
1028232966520
1110a78856690
12557b1b6360
13287c278365
14151b8b3d7a
15b03933630
hex692d0e178

28232966520 has 192 divisors, whose sum is σ = 101593664640. Its totient is φ = 6742137600.

The previous prime is 28232966519. The next prime is 28232966561. The reversal of 28232966520 is 2566923282.

28232966520 is a `hidden beast` number, since 2 + 8 + 2 + 32 + 96 + 6 + 520 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212115 + ... + 318525.

It is an arithmetic number, because the mean of its divisors is an integer number (529133670).

Almost surely, 228232966520 is an apocalyptic number.

28232966520 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 28232966520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50796832320).

28232966520 is an abundant number, since it is smaller than the sum of its proper divisors (73360698120).

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

28232966520 is a wasteful number, since it uses less digits than its factorization.

28232966520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106506 (or 106499 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 28232966520 in words is "twenty-eight billion, two hundred thirty-two million, nine hundred sixty-six thousand, five hundred twenty".