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28462831488 = 273373131847
BaseRepresentation
bin11010100000100001…
…000101011110000000
32201110121211122121000
4122200201011132000
5431242441101423
621024201132000
72025223035000
oct324041053600
981417748530
1028462831488
1111086587633
12562418a000
1328b7a8b030
14154022c000
15b18bdb843
hex6a0845780

28462831488 has 512 divisors, whose sum is σ = 105557760000. Its totient is φ = 7502616576.

The previous prime is 28462831487. The next prime is 28462831493. The reversal of 28462831488 is 88413826482.

28462831488 is a `hidden beast` number, since 2 + 8 + 4 + 628 + 3 + 1 + 4 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28462831487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15409381 + ... + 15411227.

It is an arithmetic number, because the mean of its divisors is an integer number (206167500).

Almost surely, 228462831488 is an apocalyptic number.

28462831488 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 28462831488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52778880000).

28462831488 is an abundant number, since it is smaller than the sum of its proper divisors (77094928512).

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

28462831488 is a wasteful number, since it uses less digits than its factorization.

28462831488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1872 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 28462831488 in words is "twenty-eight billion, four hundred sixty-two million, eight hundred thirty-one thousand, four hundred eighty-eight".