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28495302144 = 29359930971
BaseRepresentation
bin11010100010011100…
…111100111000000000
32201112212221022221220
4122202130330320000
5431324244132034
621031321115040
72026066033431
oct324234747000
981485838856
1028495302144
11110a2945291
125633028a80
1328c171973a
141544681488
15b1b9a2749
hex6a273ce00

28495302144 has 80 divisors (see below), whose sum is σ = 76042454400. Its totient is φ = 9482270720.

The previous prime is 28495302113. The next prime is 28495302151. The reversal of 28495302144 is 44120359482.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 28495302096 and 28495302105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 904579 + ... + 935549.

It is an arithmetic number, because the mean of its divisors is an integer number (950530680).

Almost surely, 228495302144 is an apocalyptic number.

28495302144 is a gapful number since it is divisible by the number (24) 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 28495302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38021227200).

28495302144 is an abundant number, since it is smaller than the sum of its proper divisors (47547152256).

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

28495302144 is an equidigital number, since it uses as much as digits as its factorization.

28495302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31591 (or 31575 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 28495302144 in words is "twenty-eight billion, four hundred ninety-five million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 599 768 1198 1536 1797 2396 3594 4792 7188 9584 14376 19168 28752 30971 38336 57504 61942 76672 92913 115008 123884 153344 185826 230016 247768 306688 371652 460032 495536 743304 920064 991072 1486608 1982144 2973216 3964288 5946432 7928576 11892864 15857152 18551629 23785728 37103258 47571456 55654887 74206516 111309774 148413032 222619548 296826064 445239096 593652128 890478192 1187304256 1780956384 2374608512 3561912768 4749217024 7123825536 9498434048 14247651072 28495302144