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28619882496 = 21433312087
BaseRepresentation
bin11010101001111000…
…001100000000000000
32201212120100200002000
4122221320030000000
5432103142214441
621051531224000
72032140662442
oct325170140000
981776320060
1028619882496
11111571a5357
1256688a8000
13291148841a
141557030492
15b278b02b6
hex6a9e0c000

28619882496 has 240 divisors, whose sum is σ = 87574394880. Its totient is φ = 9227796480.

The previous prime is 28619882441. The next prime is 28619882507. The reversal of 28619882496 is 69428891682.

28619882496 is a `hidden beast` number, since 2 + 8 + 61 + 9 + 8 + 82 + 496 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13712365 + ... + 13714451.

It is an arithmetic number, because the mean of its divisors is an integer number (364893312).

Almost surely, 228619882496 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 28619882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43787197440).

28619882496 is an abundant number, since it is smaller than the sum of its proper divisors (58954512384).

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

28619882496 is an equidigital number, since it uses as much as digits as its factorization.

28619882496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2123 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 28619882496 in words is "twenty-eight billion, six hundred nineteen million, eight hundred eighty-two thousand, four hundred ninety-six".