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28319241888 = 25327210319483
BaseRepresentation
bin11010010111111101…
…010101011010100000
32201002121122112200200
4122113331111122200
5430444211220023
621002031345200
72021530404300
oct322775253240
981077575620
1028319241888
1111012523643
1255a4082200
1328940c4b82
141529131600
15b0b2c6743
hex697f556a0

28319241888 has 216 divisors, whose sum is σ = 94595443488. Its totient is φ = 8012245248.

The previous prime is 28319241883. The next prime is 28319241893. The reversal of 28319241888 is 88814291382.

28319241888 is a `hidden beast` number, since 2 + 8 + 319 + 241 + 8 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (28319241883) and next prime (28319241893).

It is a super-2 number, since 2×283192418882 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28319241883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1443795 + ... + 1463277.

It is an arithmetic number, because the mean of its divisors is an integer number (437941868).

Almost surely, 228319241888 is an apocalyptic number.

28319241888 is a gapful number since it is divisible by the number (28) 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 28319241888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47297721744).

28319241888 is an abundant number, since it is smaller than the sum of its proper divisors (66276201600).

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

28319241888 is a wasteful number, since it uses less digits than its factorization.

28319241888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19616 (or 19598 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 28319241888 in words is "twenty-eight billion, three hundred nineteen million, two hundred forty-one thousand, eight hundred eighty-eight".