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28125378 = 23217107859
BaseRepresentation
bin110101101001…
…0100011000010
31221220220202200
41223102203002
524200003003
62442454030
7461030121
oct153224302
957826680
1028125378
1114970016
129504316
135a99948
143a41ab8
1527086a3
hex1ad28c2

28125378 has 48 divisors (see below), whose sum is σ = 65201760. Its totient is φ = 8731008.

The previous prime is 28125353. The next prime is 28125403. The reversal of 28125378 is 87352182.

28125378 is a `hidden beast` number, since 281 + 2 + 5 + 378 = 666.

It is an interprime number because it is at equal distance from previous prime (28125353) and next prime (28125403).

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 32313 + ... + 33171.

It is an arithmetic number, because the mean of its divisors is an integer number (1358370).

Almost surely, 228125378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28125378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32600880).

28125378 is an abundant number, since it is smaller than the sum of its proper divisors (37076382).

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

28125378 is a wasteful number, since it uses less digits than its factorization.

28125378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 988 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 28125378 is about 5303.3364969611. The cubic root of 28125378 is about 304.1114621858. Note that the first 3 decimals are identical.

The spelling of 28125378 in words is "twenty-eight million, one hundred twenty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 107 153 214 306 321 642 859 963 1718 1819 1926 2577 3638 5154 5457 7731 10914 14603 15462 16371 29206 32742 43809 87618 91913 131427 183826 262854 275739 551478 827217 1562521 1654434 3125042 4687563 9375126 14062689 28125378