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28466784 = 2532971019
BaseRepresentation
bin110110010010…
…1111001100000
31222120021002100
41230211321200
524241414114
62454050400
7463651353
oct154457140
958507070
1028466784
1115083575
129649a00
135b89168
143ad029a
152774909
hex1b25e60

28466784 has 72 divisors (see below), whose sum is σ = 81867240. Its totient is φ = 9381888.

The previous prime is 28466771. The next prime is 28466791. The reversal of 28466784 is 48766482.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27427 + ... + 28445.

It is an arithmetic number, because the mean of its divisors is an integer number (1137045).

Almost surely, 228466784 is an apocalyptic number.

28466784 is a gapful number since it is divisible by the number (24) 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 28466784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40933620).

28466784 is an abundant number, since it is smaller than the sum of its proper divisors (53400456).

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

28466784 is a wasteful number, since it uses less digits than its factorization.

28466784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1121 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 28466784 is about 5335.4272556188. The cubic root of 28466784 is about 305.3370242091.

The spelling of 28466784 in words is "twenty-eight million, four hundred sixty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1019 1164 1552 1746 2038 2328 3057 3104 3492 4076 4656 6114 6984 8152 9171 9312 12228 13968 16304 18342 24456 27936 32608 36684 48912 73368 97824 98843 146736 197686 293472 296529 395372 593058 790744 889587 1186116 1581488 1779174 2372232 3162976 3558348 4744464 7116696 9488928 14233392 28466784