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28468758528 = 21133731979
BaseRepresentation
bin11010100000110111…
…101100100000000000
32201111000222202222000
4122200313230200000
5431301000233103
621024532144000
72025324312000
oct324067544000
981430882860
1028468758528
1111089965711
125626168000
1328b9084a62
141540d32000
15b194acaa3
hex6a0dec800

28468758528 has 768 divisors, whose sum is σ = 104832000000. Its totient is φ = 7608287232.

The previous prime is 28468758523. The next prime is 28468758583. The reversal of 28468758528 is 82585786482.

28468758528 is a `hidden beast` number, since 2 + 8 + 46 + 8 + 7 + 585 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (68812800) is a multiple of the sum of its prime factors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28468758523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360363993 + ... + 360364071.

It is an arithmetic number, because the mean of its divisors is an integer number (136500000).

Almost surely, 228468758528 is an apocalyptic number.

28468758528 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 28468758528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416000000).

28468758528 is an abundant number, since it is smaller than the sum of its proper divisors (76363241472).

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

28468758528 is an equidigital number, since it uses as much as digits as its factorization.

28468758528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 110 counting only the distinct ones).

The product of its digits is 68812800, while the sum is 63.

The spelling of 28468758528 in words is "twenty-eight billion, four hundred sixty-eight million, seven hundred fifty-eight thousand, five hundred twenty-eight".