Search a number
-
+
28455432192 = 212351123113
BaseRepresentation
bin11010100000000100…
…110111000000000000
32201110002220201200000
4122200010313000000
5431234042312232
621023334400000
72025103116465
oct324004670000
981402821600
1028455432192
1111082393410
125621800000
1328b639a155
14153d26366c
15b1822927c
hex6a0137000

28455432192 has 624 divisors, whose sum is σ = 97889395968. Its totient is φ = 8174960640.

The previous prime is 28455432179. The next prime is 28455432197. The reversal of 28455432192 is 29123455482.

28455432192 is a `hidden beast` number, since 2 + 8 + 4 + 554 + 3 + 2 + 1 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28455432197) 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, 251817928 + ... + 251818040.

It is an arithmetic number, because the mean of its divisors is an integer number (156874032).

Almost surely, 228455432192 is an apocalyptic number.

28455432192 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 28455432192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48944697984).

28455432192 is an abundant number, since it is smaller than the sum of its proper divisors (69433963776).

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

28455432192 is a wasteful number, since it uses less digits than its factorization.

28455432192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 152 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 28455432192 in words is "twenty-eight billion, four hundred fifty-five million, four hundred thirty-two thousand, one hundred ninety-two".