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28047376532448 = 2534713297157751
BaseRepresentation
bin1100110000010010010011…
…11010100100001111100000
310200022022011220011010020000
412120021021322210033200
512134012011343014243
6135352441545420000
75623233064642350
oct630111172441740
9120268156133200
1028047376532448
118a3390994a319
12318b92979a600
131285b19279140
146cd700a3ab60
1533989b1c75d3
hex198249ea43e0

28047376532448 has 960 divisors, whose sum is σ = 106503706552320. Its totient is φ = 7041323520000.

The previous prime is 28047376532447. The next prime is 28047376532629. The reversal of 28047376532448 is 84423567374082.

28047376532448 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 73 + 76 + 53 + 2 + 448 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28047376532447) 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 159 ways as a sum of consecutive naturals, for example, 485631573 + ... + 485689323.

It is an arithmetic number, because the mean of its divisors is an integer number (110941360992).

Almost surely, 228047376532448 is an apocalyptic number.

28047376532448 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 28047376532448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53251853276160).

28047376532448 is an abundant number, since it is smaller than the sum of its proper divisors (78456330019872).

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

28047376532448 is a wasteful number, since it uses less digits than its factorization.

28047376532448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57893 (or 57876 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 28047376532448 in words is "twenty-eight trillion, forty-seven billion, three hundred seventy-six million, five hundred thirty-two thousand, four hundred forty-eight".