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28446285504 = 26371321753139
BaseRepresentation
bin11010011111100001…
…111101111011000000
32201102110201000202210
4122133201331323000
5431224222114004
621022410342120
72024632302660
oct323741757300
981373630683
1028446285504
111107820636a
12561a72a940
1328b4516b00
14153bd621a0
15b1751e089
hex69f87dec0

28446285504 has 672 divisors, whose sum is σ = 101204328960. Its totient is φ = 6877937664.

The previous prime is 28446285493. The next prime is 28446285523. The reversal of 28446285504 is 40558264482.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204649467 + ... + 204649605.

It is an arithmetic number, because the mean of its divisors is an integer number (150601680).

Almost surely, 228446285504 is an apocalyptic number.

28446285504 is a gapful number since it is divisible by the number (24) 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 28446285504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50602164480).

28446285504 is an abundant number, since it is smaller than the sum of its proper divisors (72758043456).

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

28446285504 is a wasteful number, since it uses less digits than its factorization.

28446285504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 48.

The spelling of 28446285504 in words is "twenty-eight billion, four hundred forty-six million, two hundred eighty-five thousand, five hundred four".