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1425385728 = 28331329547
BaseRepresentation
bin101010011110101…
…1010100100000000
310200100010002122000
41110331122210000
510404344320403
6353234544000
750215402344
oct12475324400
93610102560
101425385728
11671658438
12339438000
131993c9410
14d743d624
158520b7a3
hex54f5a900

1425385728 has 288 divisors, whose sum is σ = 4704470400. Its totient is φ = 422682624.

The previous prime is 1425385721. The next prime is 1425385733. The reversal of 1425385728 is 8275835241.

1425385728 is a `hidden beast` number, since 1 + 42 + 5 + 38 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1425385721) 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 31 ways as a sum of consecutive naturals, for example, 2605551 + ... + 2606097.

Almost surely, 21425385728 is an apocalyptic number.

1425385728 is a gapful number since it is divisible by the number (18) 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 1425385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352235200).

1425385728 is an abundant number, since it is smaller than the sum of its proper divisors (3279084672).

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

1425385728 is a wasteful number, since it uses less digits than its factorization.

1425385728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 594 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 1425385728 is about 37754.2809228305. The cubic root of 1425385728 is about 1125.4100833877.

The spelling of 1425385728 in words is "one billion, four hundred twenty-five million, three hundred eighty-five thousand, seven hundred twenty-eight".