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10828983438 = 23272132921123
BaseRepresentation
bin10100001010111010…
…10010110010001110
31000221200122100121200
422011131102302032
5134134204432223
64550314410330
7532231561200
oct120535226216
930850570550
1010828983438
114657751599
1221227309a6
13103767a710
1474a2b4770
15435a5ca43
hex285752c8e

10828983438 has 216 divisors, whose sum is σ = 30468562488. Its totient is φ = 2755057536.

The previous prime is 10828983433. The next prime is 10828983449. The reversal of 10828983438 is 83438982801.

It is a happy number.

10828983438 is a `hidden beast` number, since 10 + 8 + 289 + 8 + 343 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10828983433) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9642345 + ... + 9643467.

Almost surely, 210828983438 is an apocalyptic number.

10828983438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10828983438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15234281244).

10828983438 is an abundant number, since it is smaller than the sum of its proper divisors (19639579050).

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

10828983438 is a wasteful number, since it uses less digits than its factorization.

10828983438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 10828983438 in words is "ten billion, eight hundred twenty-eight million, nine hundred eighty-three thousand, four hundred thirty-eight".