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28237144320 = 28375711131
BaseRepresentation
bin11010010011000100…
…001010000100000000
32200212220011120000000
4122103010022010000
5430312202104240
620545540000000
72016512523630
oct322304120400
980786146000
1028237144320
1110a8014a510
125580690000
1328800abb28
14151c2806c0
15b03eab430
hex69310a100

28237144320 has 1152 divisors, whose sum is σ = 127435714560. Its totient is φ = 5822668800.

The previous prime is 28237144307. The next prime is 28237144339. The reversal of 28237144320 is 2344173282.

It is a happy number.

28237144320 is a `hidden beast` number, since 282 + 371 + 4 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 215550655 + ... + 215550785.

It is an arithmetic number, because the mean of its divisors is an integer number (110621280).

Almost surely, 228237144320 is an apocalyptic number.

28237144320 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 28237144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63717857280).

28237144320 is an abundant number, since it is smaller than the sum of its proper divisors (99198570240).

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

28237144320 is an equidigital number, since it uses as much as digits as its factorization.

28237144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 28237144320 in words is "twenty-eight billion, two hundred thirty-seven million, one hundred forty-four thousand, three hundred twenty".