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28077864 = 2335979251
BaseRepresentation
bin110101100011…
…0111100101000
31221211111120220
41223012330220
524141442424
62441450040
7460441443
oct153067450
957744526
1028077864
1114938351
1294a0920
135a81129
143a2c65a
1526e9579
hex1ac6f28

28077864 has 64 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 9048000.

The previous prime is 28077853. The next prime is 28077869. The reversal of 28077864 is 46877082.

It is not an unprimeable number, because it can be changed into a prime (28077869) 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 15 ways as a sum of consecutive naturals, for example, 111739 + ... + 111989.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 228077864 is an apocalyptic number.

28077864 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 28077864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

28077864 is an abundant number, since it is smaller than the sum of its proper divisors (44498136).

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

28077864 is a wasteful number, since it uses less digits than its factorization.

28077864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 28077864 is about 5298.8549706517. The cubic root of 28077864 is about 303.9401140116.

The spelling of 28077864 in words is "twenty-eight million, seventy-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 59 79 118 158 177 236 237 251 316 354 472 474 502 632 708 753 948 1004 1416 1506 1896 2008 3012 4661 6024 9322 13983 14809 18644 19829 27966 29618 37288 39658 44427 55932 59236 59487 79316 88854 111864 118472 118974 158632 177708 237948 355416 475896 1169911 2339822 3509733 4679644 7019466 9359288 14038932 28077864