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28525938 = 237383167
BaseRepresentation
bin110110011010…
…0010101110010
31222200021020020
41230310111302
524300312223
62455224310
7464316000
oct154642562
958607206
1028525938
1115113a61
129678096
135baa06c
143b07a70
1527871e3
hex1b34572

28525938 has 64 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 8003856.

The previous prime is 28525933. The next prime is 28525951. The reversal of 28525938 is 83952582.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28525938.

It is not an unprimeable number, because it can be changed into a prime (28525933) 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, 170731 + ... + 170897.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 228525938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28525938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

28525938 is an abundant number, since it is smaller than the sum of its proper divisors (39211662).

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

28525938 is a wasteful number, since it uses less digits than its factorization.

28525938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 28525938 is about 5340.9678898117. The cubic root of 28525938 is about 305.5483747416.

The spelling of 28525938 in words is "twenty-eight million, five hundred twenty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 83 98 147 166 167 249 294 334 343 498 501 581 686 1002 1029 1162 1169 1743 2058 2338 3486 3507 4067 7014 8134 8183 12201 13861 16366 24402 24549 27722 28469 41583 49098 56938 57281 83166 85407 97027 114562 170814 171843 194054 291081 343686 582162 679189 1358378 2037567 4075134 4754323 9508646 14262969 28525938