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28142376192 = 283273149239
BaseRepresentation
bin11010001101011010…
…101001010100000000
32200122021211211120100
4122031122221110000
5430113422014232
620532312442400
72014252152000
oct321532512400
980567754510
1028142376192
1110a31701847
1255549a9400
13286657a808
14150d852000
15aea9dbc7c
hex68d6a9500

28142376192 has 432 divisors, whose sum is σ = 95659200000. Its totient is φ = 7953297408.

The previous prime is 28142376191. The next prime is 28142376203. The reversal of 28142376192 is 29167324182.

28142376192 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 23 + 7 + 619 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28142376191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117750409 + ... + 117750647.

Almost surely, 228142376192 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 28142376192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47829600000).

28142376192 is an abundant number, since it is smaller than the sum of its proper divisors (67516823808).

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

28142376192 is a wasteful number, since it uses less digits than its factorization.

28142376192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 400 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 28142376192 in words is "twenty-eight billion, one hundred forty-two million, three hundred seventy-six thousand, one hundred ninety-two".