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28210080 = 253558771
BaseRepresentation
bin110101110011…
…1001110100000
31222002012221210
41223213032200
524210210310
62444350120
7461532063
oct153471640
958065853
1028210080
1114a18718
129545340
135ac9372
143a648da
152723820
hex1ae73a0

28210080 has 48 divisors (see below), whose sum is σ = 88863264. Its totient is φ = 7522560.

The previous prime is 28210073. The next prime is 28210087. The reversal of 28210080 is 8001282.

It is an interprime number because it is at equal distance from previous prime (28210073) and next prime (28210087).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×282100802 = 1591617227212800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28210087) 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 7 ways as a sum of consecutive naturals, for example, 28906 + ... + 29865.

It is an arithmetic number, because the mean of its divisors is an integer number (1851318).

Almost surely, 228210080 is an apocalyptic number.

28210080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28210080 is an abundant number, since it is smaller than the sum of its proper divisors (60653184).

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

28210080 is a wasteful number, since it uses less digits than its factorization.

28210080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58789 (or 58781 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 28210080 is about 5311.3162210510. The cubic root of 28210080 is about 304.4164421925.

The spelling of 28210080 in words is "twenty-eight million, two hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 58771 117542 176313 235084 293855 352626 470168 587710 705252 881565 940336 1175420 1410504 1763130 1880672 2350840 2821008 3526260 4701680 5642016 7052520 9403360 14105040 28210080