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28423987200 = 213325272203
BaseRepresentation
bin11010011110001100…
…111010000000000000
32201100220202011020200
4122132030322000000
5431203020042300
621020252405200
72024241622230
oct323614720000
981326664220
1028423987200
1111066666314
125613176800
1328aca0a54b
141538dd9cc0
15b155b7200
hex69e33a000

28423987200 has 504 divisors, whose sum is σ = 116412617568. Its totient is φ = 6493962240.

The previous prime is 28423987177. The next prime is 28423987201. The reversal of 28423987200 is 278932482.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28423987201) 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 35 ways as a sum of consecutive naturals, for example, 12901299 + ... + 12903501.

Almost surely, 228423987200 is an apocalyptic number.

28423987200 is a gapful number since it is divisible by the number (20) 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 28423987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58206308784).

28423987200 is an abundant number, since it is smaller than the sum of its proper divisors (87988630368).

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

28423987200 is a wasteful number, since it uses less digits than its factorization.

28423987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 28423987200 in words is "twenty-eight billion, four hundred twenty-three million, nine hundred eighty-seven thousand, two hundred".