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28168464 = 2434491307
BaseRepresentation
bin110101101110…
…1000100010000
31222000002212110
41223131010100
524202342324
62443425320
7461266542
oct153350420
958002773
1028168464
111499a425
129525240
135ab343c
143a53692
152716329
hex1add110

28168464 has 40 divisors (see below), whose sum is σ = 72986400. Its totient is φ = 9361408.

The previous prime is 28168453. The next prime is 28168513. The reversal of 28168464 is 46486182.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 20899 + ... + 22205.

It is an arithmetic number, because the mean of its divisors is an integer number (1824660).

Almost surely, 228168464 is an apocalyptic number.

28168464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28168464 is an abundant number, since it is smaller than the sum of its proper divisors (44817936).

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

28168464 is a wasteful number, since it uses less digits than its factorization.

28168464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1761 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 28168464 is about 5307.3971021585. The cubic root of 28168464 is about 304.2666750477.

The spelling of 28168464 in words is "twenty-eight million, one hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 449 898 1307 1347 1796 2614 2694 3592 3921 5228 5388 7184 7842 10456 10776 15684 20912 21552 31368 62736 586843 1173686 1760529 2347372 3521058 4694744 7042116 9389488 14084232 28168464