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28135231740 = 22345711283797
BaseRepresentation
bin11010001100111111…
…011001000011111100
32200121210101212020000
4122030333121003330
5430110104403430
620531455354300
72014134344460
oct321477310374
980553355200
1028135231740
1110a28672040
125552522990
132864c48925
14150c9124a0
15aea079e60
hex68cfd90fc

28135231740 has 480 divisors, whose sum is σ = 110567407104. Its totient is φ = 5818314240.

The previous prime is 28135231739. The next prime is 28135231757. The reversal of 28135231740 is 4713253182.

28135231740 is a `hidden beast` number, since 2 + 81 + 3 + 523 + 17 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28135231695 and 28135231704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35301022 + ... + 35301818.

Almost surely, 228135231740 is an apocalyptic number.

28135231740 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 28135231740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55283703552).

28135231740 is an abundant number, since it is smaller than the sum of its proper divisors (82432175364).

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

28135231740 is a wasteful number, since it uses less digits than its factorization.

28135231740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 28135231740 in words is "twenty-eight billion, one hundred thirty-five million, two hundred thirty-one thousand, seven hundred forty".