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28475462400 = 28352711217103
BaseRepresentation
bin11010100001010001…
…010001001100000000
32201111111121100221120
4122201101101030000
5431304204244100
621025331552240
72025435302550
oct324121211400
981444540846
1028475462400
1111092724400
12562845b680
1328ba591248
141541b99160
15b19d840a0
hex6a1451300

28475462400 has 1296 divisors, whose sum is σ = 126208922112. Its totient is φ = 5514854400.

The previous prime is 28475462387. The next prime is 28475462429. The reversal of 28475462400 is 426457482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 276460749 + ... + 276460851.

Almost surely, 228475462400 is an apocalyptic number.

28475462400 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 28475462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63104461056).

28475462400 is an abundant number, since it is smaller than the sum of its proper divisors (97733459712).

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

28475462400 is a wasteful number, since it uses less digits than its factorization.

28475462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 28475462400 in words is "twenty-eight billion, four hundred seventy-five million, four hundred sixty-two thousand, four hundred".