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28995560352 = 253211471931009
BaseRepresentation
bin11011000000010001…
…010010001110100000
32202211202021002012200
4123000101102032200
5433340330412402
621153111253200
72044352124243
oct330021221640
982752232180
1028995560352
111132a268720
12575267a200
132971262205
141590ca325a
15b4a86c21c
hex6c04523a0

28995560352 has 288 divisors, whose sum is σ = 92433519360. Its totient is φ = 8546549760.

The previous prime is 28995560333. The next prime is 28995560369. The reversal of 28995560352 is 25306559982.

28995560352 is a `hidden beast` number, since 2 + 89 + 9 + 556 + 0 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 28736424 + ... + 28737432.

It is an arithmetic number, because the mean of its divisors is an integer number (320949720).

Almost surely, 228995560352 is an apocalyptic number.

28995560352 is a gapful number since it is divisible by the number (22) 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 28995560352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46216759680).

28995560352 is an abundant number, since it is smaller than the sum of its proper divisors (63437959008).

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

28995560352 is a wasteful number, since it uses less digits than its factorization.

28995560352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 28995560352 in words is "twenty-eight billion, nine hundred ninety-five million, five hundred sixty thousand, three hundred fifty-two".