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28307664000 = 2733537112337
BaseRepresentation
bin11010010111010001…
…001010110010000000
32201001210212022211000
4122113101022302000
5430433230222000
621000535252000
72021330113440
oct322721126200
981053768730
1028307664000
1111006a35a40
1255a021a000
1328918a0055
14152779a120
15b0a28b000
hex69744ac80

28307664000 has 2048 divisors, whose sum is σ = 139312742400. Its totient is φ = 5474304000.

The previous prime is 28307663999. The next prime is 28307664029. The reversal of 28307664000 is 46670382.

28307664000 is a `hidden beast` number, since 2 + 8 + 3 + 0 + 7 + 6 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×283076640002 (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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 765071982 + ... + 765072018.

It is an arithmetic number, because the mean of its divisors is an integer number (68023800).

Almost surely, 228307664000 is an apocalyptic number.

28307664000 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 28307664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69656371200).

28307664000 is an abundant number, since it is smaller than the sum of its proper divisors (111005078400).

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

28307664000 is a wasteful number, since it uses less digits than its factorization.

28307664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 28307664000 in words is "twenty-eight billion, three hundred seven million, six hundred sixty-four thousand".