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28866600576 = 27321117133999
BaseRepresentation
bin11010111000100101…
…010101111010000000
32202111202121020122200
4122320211111322000
5433104322204301
621132223233200
72041225025232
oct327045257200
982452536580
1028866600576
11112734972a0
125717448800
13295061c058
14157bad4252
15b3e396c86
hex6b8955e80

28866600576 has 192 divisors, whose sum is σ = 95949360000. Its totient is φ = 8232837120.

The previous prime is 28866600563. The next prime is 28866600619. The reversal of 28866600576 is 67500666882.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148425 + ... + 282423.

It is an arithmetic number, because the mean of its divisors is an integer number (499736250).

Almost surely, 228866600576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28866600576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47974680000).

28866600576 is an abundant number, since it is smaller than the sum of its proper divisors (67082759424).

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

28866600576 is a wasteful number, since it uses less digits than its factorization.

28866600576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134047 (or 134032 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 28866600576 in words is "twenty-eight billion, eight hundred sixty-six million, six hundred thousand, five hundred seventy-six".