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28088938800 = 2432521319311019
BaseRepresentation
bin11010001010001110…
…110011000100110000
32200111120021221020200
4122022032303010300
5430011232020200
620523123235200
72013033016566
oct321216630460
980446257220
1028088938800
1110a0452350a
12553ab18b00
13285848a960
141506701a36
15ae5e83800
hex68a3b3130

28088938800 has 720 divisors, whose sum is σ = 114176025600. Its totient is φ = 6332774400.

The previous prime is 28088938783. The next prime is 28088938811. The reversal of 28088938800 is 883988082.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27564691 + ... + 27565709.

Almost surely, 228088938800 is an apocalyptic number.

28088938800 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 28088938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57088012800).

28088938800 is an abundant number, since it is smaller than the sum of its proper divisors (86087086800).

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

28088938800 is a wasteful number, since it uses less digits than its factorization.

28088938800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 28088938800 in words is "twenty-eight billion, eighty-eight million, nine hundred thirty-eight thousand, eight hundred".