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28875400 = 2352353409
BaseRepresentation
bin110111000100…
…1101010001000
32000100000121021
41232021222020
524343003100
62510522224
7500302561
oct156115210
960300537
1028875400
1115332574
129806374
135ca0148
143b99168
152805a1a
hex1b89a88

28875400 has 48 divisors (see below), whose sum is σ = 67490100. Its totient is φ = 11489280.

The previous prime is 28875389. The next prime is 28875409. The reversal of 28875400 is 457882.

28875400 = T162 + T163 + ... + T561.

It can be written as a sum of positive squares in 6 ways, for example, as 16016004 + 12859396 = 4002^2 + 3586^2 .

It is not an unprimeable number, because it can be changed into a prime (28875409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 70396 + ... + 70804.

Almost surely, 228875400 is an apocalyptic number.

28875400 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 28875400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33745050).

28875400 is an abundant number, since it is smaller than the sum of its proper divisors (38614700).

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

28875400 is a wasteful number, since it uses less digits than its factorization.

28875400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 28875400 is about 5373.5835342907. The cubic root of 28875400 is about 306.7910386097.

The spelling of 28875400 in words is "twenty-eight million, eight hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 353 409 706 818 1412 1636 1765 2045 2824 3272 3530 4090 7060 8180 8825 10225 14120 16360 17650 20450 35300 40900 70600 81800 144377 288754 577508 721885 1155016 1443770 2887540 3609425 5775080 7218850 14437700 28875400