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28680800 = 255235851
BaseRepresentation
bin110110101101…
…0001001100000
31222222010122212
41231122021200
524320241200
62502421252
7465532331
oct155321140
958863585
1028680800
111520a345
129731828
135c326b5
143b48288
1527b8035
hex1b5a260

28680800 has 36 divisors (see below), whose sum is σ = 70018956. Its totient is φ = 11472000.

The previous prime is 28680781. The next prime is 28680811. The reversal of 28680800 is 808682.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 17126 + ... + 18725.

It is an arithmetic number, because the mean of its divisors is an integer number (1944971).

Almost surely, 228680800 is an apocalyptic number.

28680800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28680800 is an abundant number, since it is smaller than the sum of its proper divisors (41338156).

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

28680800 is a wasteful number, since it uses less digits than its factorization.

28680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35871 (or 35858 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 28680800 is about 5355.4458264462. The cubic root of 28680800 is about 306.1002989022.

The spelling of 28680800 in words is "twenty-eight million, six hundred eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 35851 71702 143404 179255 286808 358510 573616 717020 896275 1147232 1434040 1792550 2868080 3585100 5736160 7170200 14340400 28680800